Tootfinder

Non-closed scalar charge in 4-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics
Romina Ballesteros, Marcela C\'ardenas, Eric Lescano
https://arxiv.org/abs/2510.08686

Non-closed scalar charge in 4-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics
We develop a covariant differential-form framework to define scalar charges for stationary, asymptotically flat black holes in $4$--dimensional Einstein-scalar-Gauss-Bonnet gravity with a general scalar coupling function. Contracting the scalar field equation of motion with the horizon generator $k$ yields a non-closed-form scalar charge, revealing a bulk contribution encoded in a $3$--form, which measures the obstruction to its closedness. In the presence of shift-symmetry, this obstruction va…

Particle physics models of interacting bosonic dark energy and fermionic dark matter in Einstein scalar Gauss-Bonnet gravity
Simran Arora, Saddam Hussain, Benjamin Rose, Anzhong Wang
https://arxiv.org/abs/2508.08638

Particle physics models of interacting bosonic dark energy and fermionic dark matter in Einstein scalar Gauss-Bonnet gravity
We explore a cosmological framework in which a Gauss-Bonnet (GB) coupled scalar field, acting as dark energy, interacts with a fermionic dark matter field through a coupling obtained from the point of view of particle physics. This setup is inspired by string/M-theory, and two representative scalar field potentials are investigated: exponential and power-law. A distinctive feature of the GB-coupled models is their potential to alter the propagation speed of gravitational waves (GWs), a property…

Finite Scalar Quantization Enables Redundant and Transmission-Robust Neural Audio Compression at Low Bit-rates
Harry Julia, Rachel Beeson, Lohith Konathala, Johanna Ulin, Jiameng Gao
https://arxiv.org/abs/2509.09550

Finite Scalar Quantization Enables Redundant and Transmission-Robust Neural Audio Compression at Low Bit-rates
Neural Audio Codecs (NACs) have become increasingly adopted in speech processing tasks due to their excellent rate-distortion performance and compatibility with Large Language Models (LLMs) as discrete feature representations for audio generation. While most existing codecs rely on Residual Vector Quantization (RVQ), Finite Scalar Quantization (FSQ) has recently emerged as a compelling alternative that simplifies training and natively supports single codebooks. We introduce NeuCodec, an FSQ-bas…

Scalar quasinormal modes of magnetically charged black holes in a quintessence field
Ali Hasnain
https://arxiv.org/abs/2509.08845 https://arxiv.org/pdf/250…

Scalar quasinormal modes of magnetically charged black holes in a quintessence field
We investigate the quasinormal mode (QNM) spectrum for scalar perturbations of static, magnetically charged black holes in the presence of a quintessence field. The background geometry is obtained from the Einstein-Power-Maxwell action with a Kiselev-type contribution for quintessence. The associated master wave equation is solved using complementary numerical approaches, including high-order WKB expansions, the asymptotic iteration method, and time-domain integration, with cross-validation to …

Optimal Representation for Right-to-Left Parallel Scalar Point Multiplication
Kittiphon Phalakarn, Kittiphop Phalakarn, Vorapong Suppakitpaisarn
https://arxiv.org/abs/2508.07310

Optimal Representation for Right-to-Left Parallel Scalar Point Multiplication
This paper introduces an optimal representation for a right-to-left parallel elliptic curve scalar point multiplication. The right-to-left approach is easier to parallelize than the conventional left-to-right approach. However, unlike the left-to-right approach, there is still no work considering number representations for the right-to-left parallel calculation. By simplifying the implementation by Robert, we devise a mathematical model to capture the computation time of the calculation. Then, …

STRIDE: Scalable and Interpretable XAI via Subset-Free Functional Decomposition
Chaeyun Ko
https://arxiv.org/abs/2509.09070 https://arxiv.org/pdf/2509.0907…

STRIDE: Scalable and Interpretable XAI via Subset-Free Functional Decomposition
Most explainable AI (XAI) frameworks face two practical limitations: the exponential cost of reasoning over feature subsets and the reduced expressiveness of summarizing effects as single scalar values. We present STRIDE, a scalable framework that aims to mitigate both issues by framing explanation as a subset-enumeration-free, orthogonal functional decomposition in a Reproducing Kernel Hilbert Space (RKHS). Rather than focusing only on scalar attributions, STRIDE computes functional components…

Kallen-Lehmann representation for Spinor-Scalar Loops in de Sitter Space-time. Spectral equations
Boris L. Altshuler
https://arxiv.org/abs/2508.07467 https://

Kallen-Lehmann representation for Spinor-Scalar Loops in de Sitter Space-time. Spectral equations
Compact formulas (1), (28) presented in this paper permit to formulate the Kallen-Lehmann harmonic decompositions of the products of two spinor and of spinor and scalar harmonic functions in AdS and Wightman functions in dS spaces; the correct flat space limit of the corresponding Kallen-Lehmann densities is demonstrated. Also in Sec. 4 the relatively simple, suitable for calculations Kallen-Lehmann representations of the real parts of spinor and scalar one-loop self-energies in Yukawa model in…

Illuminating Scalar Dark Matter Co-Scattering in EFT with Monophoton Signatures
Genevi\`eve B\'elanger, Manimala Mitra, Rojalin Padhan, Abhishek Roy
https://arxiv.org/abs/2508.06040

Illuminating Scalar Dark Matter Co-Scattering in EFT with Monophoton Signatures
We investigate the co-scattering mechanism for dark matter production in an EFT framework which contains new $Z_2$-odd singlets, namely two fermions $N_{1,2}$ and a real scalar $χ$. The singlet scalar $χ$ is the dark matter candidate. The dimension-5 operators play a vital role to set the observed DM relic density. We focus on a nearly degenerate mass spectrum for the $Z_2$ odd particles to allow for a significant contribution from the co-scattering or co-annihilation mechanisms. We present t…

Adding structure to generalized additive models, with applications in ecology
David L Miller, Ken Newman, Thomas Cornulier
https://arxiv.org/abs/2508.07915 https://

Adding structure to generalized additive models, with applications in ecology
Generalized additive models (GAMs) that connect a set of scalar covariates that map 1-1 to a response variable are commonly employed in ecological and other scientific disciplines. However, covariates are often inherently non-scalar, taking on multiple values for each observation of the response. They can sometimes have a temporal structure, e.g., a time series of temperature and precipitation measurements, or a spatial structure, e.g., multiple soil pH measurements made at nearby locations. Wh…

Semi-flat constant scalar curvature K\"ahler metric on elliptic surface
Zhenqu Wang, Zhenlei Zhang
https://arxiv.org/abs/2509.08669 https://arxiv.org/…

Semi-flat constant scalar curvature Kähler metric on elliptic surface
We introduce and construct a novel type of canonical metric: the semi-flat constant scalar curvature Kähler (semi-flat cscK) current, which naturally arises in Calabi-Yau fibrations. For a given elliptic surface $X$ with a holomorphic section, We explicitly construct the desired semi-flat cscK current and analyze its behavior along singular parts. We establish its uniqueness under the condition that $X$ possesses at least one singular fiber other than of type $I_b$ or $I_b^*$. These results co…

Interior instability of naked singularities of a scalar field
Junbin Li
https://arxiv.org/abs/2508.07655 https://arxiv.org/pdf/2508.07655

Interior instability of naked singularities of a scalar field
We show that the $k$-self-similar naked singularity solutions of the spherically symmetric Einstein--Scalar field system are unstable to black hole formation under perturbations that are totally supported in the interior region, in all regularities strictly below the threshold. The instability below the threshold is also established for exterior perturbations. We also show that general naked singularity solutions are unstable under interior BV perturbations, which provides a new insight into un…

Rescattering of non-minimal coupling scalar particles during inflation
Zhe Yu, Xunliang Yang, Yungui Gong
https://arxiv.org/abs/2508.07381 https://arxiv.or…

Rescattering of non-minimal coupling scalar particles during inflation
We investigate the rescattering effects arising from non-minimally coupled scalar particles $χ$ that are suddenly produced during inflation. The coupling term $ξR χ^2$ significantly enhances resonant particle production compared to minimal coupling scenarios. Consequently, the produced $χ$ particles rescattering off the homogeneous inflaton condensate $ϕ$, generating abundant $δϕ$ quanta within very short time intervals. This process leads to characteristic enhancements in the power spec…

Partial Eigenvalue Assignment for Nonlinear Systems
Shang Wang, Xiaodong Cheng, Yu Kawano, Peter van Heijster
https://arxiv.org/abs/2509.09256 https://arxi…

Partial Eigenvalue Assignment for Nonlinear Systems
In this paper, we study control design methods for assigning a subset of nonlinear right or left eigenvalues to a specified set of scalar-valued functions via nonlinear Sylvester equations. This framework can be viewed as a generalization of partial linear eigenvalue assignment (also referred to as partial pole placement) for linear systems. First, we propose a method for partial nonlinear right eigenvalue assignment via state feedback using a nonlinear Sylvester equation and a condition for pr…

New ultralight scalar particles and the mass-radius relation of white dwarfs -- the important role of Sirius B
Kai Bartnick, Detlev Koester, Rolf-Peter Kudritzki, Konstantin Springmann, Stefan Stelzl, Andreas Weiler
https://arxiv.org/abs/2510.06312

New ultralight scalar particles and the mass-radius relation of white dwarfs -- the important role of Sirius B
We present the equation of state for two classes of new ultralight particles, a scalar field coupling to electrons and a light $\mathbb{Z}_\mathcal{N}$ QCD axion field coupling to nucleons. Both are potential candidates for dark matter. Using the scalar modified equations of state, we calculate models for white dwarf stars and compare their radii and masses with observed mass-radius data. The comparison results in stringent constraints on the masses of the particles and the coupling parameters.…

Extremely Scalable Distributed Computation of Contour Trees via Pre-Simplification
Mingzhe Li, Hamish Carr, Oliver R\"ubel, Bei Wang, Gunther H. Weber
https://arxiv.org/abs/2508.08433

Extremely Scalable Distributed Computation of Contour Trees via Pre-Simplification
Contour trees offer an abstract representation of the level set topology in scalar fields and are widely used in topological data analysis and visualization. However, applying contour trees to large-scale scientific datasets remains challenging due to scalability limitations. Recent developments in distributed hierarchical contour trees have addressed these challenges by enabling scalable computation across distributed systems. Building on these structures, advanced analytical tasks -- such as …

Electroconvection in a Magnetic Field
Elie Abdo, Peter Constantin, Mihaela Ignatova, Quyuan Lin
https://arxiv.org/abs/2508.07439 https://arxiv.org/pdf/2508…

Electroconvection in a Magnetic Field
Electroconvection in a porous medium under a strong transversal magnetic field is described by an active scalar equation for the charge density. The equation has global weak solutions with $L^{\infty}$ data. We show that for strong enough magnetic fields, $L^{\infty}$-small solutions are smooth globally in time and they obey surface quasigeostrophic equations in the limit of infinite magnetic field strength.

Two types of boson stars in $U(1)$ gauged $3 1$-dimensional $O(3)$ sigma-model
Jutta Kunz, Aliaksei Mikhaliuk, Yakov Shnir
https://arxiv.org/abs/2508.07425 https://

Two types of boson stars in $U(1)$ gauged $3+1$-dimensional $O(3)$ sigma-model
We investigate boson stars in an $O(3)$ scalar field theory with a symmetry-breaking potential. By constructing numerically spherically symmetric solutions, we demonstrate that the model gives rise to a rich set of field configurations. The negative coupling constant of the scalar self-interactions allows for two types of boson stars: Type I solutions represent the usual boson stars, that emerge from the vacuum as the boson frequency is decreased below the boson mass, whereas type II boson star…

Illuminating Degenerate Dark Sector of Inert Doublet Model at Muon Collider
Anupam Ghosh, Partha Konar, Chandrima Sen, Bhavya Thacker
https://arxiv.org/abs/2508.06289 https://…

Illuminating Degenerate Dark Sector of Inert Doublet Model at Muon Collider
The Inert scalar Doublet Model (IDM) presents a simple yet elegant framework for a scalar dark sector where the lightest mode functions as a viable dark matter candidate under a $\mathbb{Z}_2$ symmetry. With TeV-scale particles accessible to the Large Hadron Collider (LHC) or future colliders, probing different dark matter scenarios within IDM provides an exciting opportunity. While the Higgs portal dark matter scenario is extensively well-studied at the LHC, probing the degenerate scalar dark …

Pref-GUIDE: Continual Policy Learning from Real-Time Human Feedback via Preference-Based Learning
Zhengran Ji, Boyuan Chen
https://arxiv.org/abs/2508.07126 https://

Pref-GUIDE: Continual Policy Learning from Real-Time Human Feedback via Preference-Based Learning
Training reinforcement learning agents with human feedback is crucial when task objectives are difficult to specify through dense reward functions. While prior methods rely on offline trajectory comparisons to elicit human preferences, such data is unavailable in online learning scenarios where agents must adapt on the fly. Recent approaches address this by collecting real-time scalar feedback to guide agent behavior and train reward models for continued learning after human feedback becomes un…

Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1
Alexandre Zalesski
https://arxiv.org/abs/2509.05770 https://

Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1
We determine the irreducible representations of alternating and symmetric groups and their universal central extensions that contain a non-scalar element with all but one eigenvalues of multiplicity 1. The ground field is algebraically closed of arbitrary characteristic.

Spinning mixtures: nonreciprocity transfers chirality across scales in scalar densities
Giulia Pisegna, Suropriya Saha
https://arxiv.org/abs/2509.07630 https://

Spinning mixtures: nonreciprocity transfers chirality across scales in scalar densities
We present a minimal model for mixtures of chiral active particles, formulated solely in terms of the number densities of the species. Nonreciprocity and chirality enter the chemical potential at vanishing order in spatial gradients, taking the form of local and non-local contributions. Chirality manifests as the curl of the nonreciprocal current, while the latter is simultaneously strongly modified by former. Their interplay generates distinctive dynamical states, including phase separation wi…

A New Class of Linear Relations for Scalar Partitions
Boris Y. Rubinstein
https://arxiv.org/abs/2508.00677 https://arxiv.org/pdf/2508.00677

A New Class of Linear Relations for Scalar Partitions
A scalar integer partition problem asks for a number of nonnegative integer solutions to a linear Diophantine equation with integer positive coefficients. The manuscript discusses an algorithm of derivation of linear relations involving the finite number of scalar partitions. The algorithm employs the Cayley theorem about the reduction of a double partition to a sum of scalar partitions based on the variable elimination procedure.

Level sets of harmonic functions on three-dimensional manifolds with nonnegative scalar curvature
Yukai Sun
https://arxiv.org/abs/2509.07608 https://arxiv.…

Level sets of harmonic functions on three-dimensional manifolds with nonnegative scalar curvature
We investigate the level sets of harmonic functions on $(\mathbb{R}^{3}\setminus \{0\},g)$. Drawing inspiration from Miao, we adopt the method developed by Munteanu-Wang to derive a monotonic quantity associated with the level sets of harmonic functions on $(\mathbb{R}^{3}\setminus \{0\},g)$ with nonnegative scalar curvature, under certain conditions. Furthermore, we establish a rigidity result for this quantity. Additionally, we find an extra scalar-flat metric on $\mathbb{R}^{3}\setminus \{0\…

Preheating and gravitational waves in large-field hilltop inflation
Diganta Das, Shreyas Revankar
https://arxiv.org/abs/2508.07442 https://arxiv.org/pdf/25…

Preheating and gravitational waves in large-field hilltop inflation
The combined Planck, BICEP/Keck Array and BAO measurements of the scalar spectral index and the tensor-to-scalar ratio from the cosmic microwave background observations severely constrain or completely rule out several models of inflationary potentials. On the other hand, the data seems to favor concave potentials over convex ones. In this paper, we study preheating and gravitational waves after inflation in a large-field, regularized hilltop potential where inflation takes place in the concave…

Quantum Algorithm for Estimating Intrinsic Geometry
Nhat A. Nghiem, Tuan K. Do, Tzu-Chieh Wei, Trung V. Phan
https://arxiv.org/abs/2508.06355 https://arxiv…

Quantum Algorithm for Estimating Intrinsic Geometry
High-dimensional datasets typically cluster around lower-dimensional manifolds but are also often marred by severe noise, obscuring the intrinsic geometry essential for downstream learning tasks. We present a quantum algorithm for estimating the intrinsic geometry of a point cloud -- specifically its local intrinsic dimension and local scalar curvature. These quantities are crucial for dimensionality reduction, feature extraction, and anomaly detection -- tasks that are central to a wide range …

Numerical approximations to statistical conservation laws for scalar hyperbolic equations
Qian Huang, Christian Rohde
https://arxiv.org/abs/2509.05039 https://

Numerical approximations to statistical conservation laws for scalar hyperbolic equations
Motivated by the statistical description of turbulence, we study statistical conservation laws in the form of kinetic-type PDEs for joint probability density functions (PDFs) and cumulative distribution functions (CDFs) associated with solutions of scalar balance laws. Starting from viscous balance laws, the resulting PDF/CDF equations involve unclosed conditional averages arising in the viscous terms. We show that these terms exhibit a dissipative anomaly: they remain non-negligible in the van…

On the effective YTD conjecture
Thibaut Delcroix
https://arxiv.org/abs/2509.08760 https://arxiv.org/pdf/2509.08760

On the effective YTD conjecture
We formulate an effective variant of the Yau-Tian-Donaldson conjecture, then review effective results on K-stability of spherical varieties, that is, K-stability criterions which can be effectively computed given the combinatorial data associated with the variety. We focus on the standard notion of K-stability as defined by Donaldson for constant scalar curvature Kähler metrics.

Scalar Curvature And Transfer Maps In Spin And Spin^c Bordism
Elliot Granath
https://arxiv.org/abs/2509.02793 https://arxiv.org/pdf/2509.02793

Scalar Curvature And Transfer Maps In Spin And Spin^c Bordism
In 1992, Stolz proved that, among simply connected Spin-manifolds of dimension 5 or greater, the vanishing of a particular invariant $α$ is necessary and sufficient for the existence of a metric of positive scalar curvature. More precisely, there is a map $α\colonΩ_*^{\rm Spin}\to {\rm ko}$ (which may be realized as the index of a Dirac operator) which Hitchin established vanishes on bordism classes containing a manifold with a metric of positive scalar curvature. Stolz showed $\kerα$ is th…

Search for a resonance decaying into a scalar particle and a Higgs boson in the final state with two bottom quarks and two photons with 199 fb$^{-1}$ of data collected at $\sqrt{s}$=13 TeV and $\sqrt{s}$=13.6 TeV with the ATLAS detector
ATLAS Collaboration
https://arxiv.org/abs/2510.02857

Search for a resonance decaying into a scalar particle and a Higgs boson in the final state with two bottom quarks and two photons with 199 fb$^{-1}$ of data collected at $\sqrt{s}$=13 TeV and $\sqrt{s}$=13.6 TeV with the ATLAS detector
A search for the resonant production of a heavy scalar $X$ decaying into a Higgs boson and a lighter scalar $S$, through the process $X \rightarrow S (\rightarrow b \bar{b})H ( \rightarrow γγ)$, where the two photons are consistent with the Higgs boson decay, is performed. The search is conducted using integrated luminosities of 140 fb$^{-1}$ and 58.6 fb$^{-1}$ of proton-proton collision data at centre-of-mass energies of 13 TeV and 13.6 TeV respectively, recorded with the ATLAS detector at t…

Unique gravitational wave signatures of GLPV scalar-tensor theories
Guillem Dom\`enech, Alexander Ganz, Mohammad Ali Gorji, Masahide Yamaguchi
https://arxiv.org/abs/2509.05027 h…

Unique gravitational wave signatures of GLPV scalar-tensor theories
We study gravitational waves induced by scalar primordial fluctuations in Gleyzes-Langlois-Piazza-Vernizzi (GLPV), beyond Horndeski, scalar-tensor theories. We uncover, at the level of the action, a new scalar-scalar-tensor interaction, unique to GLPV models disconnected from Horndeski via disformal transformation. The new interaction leads to third derivatives in the source for scalar-induced tensor modes, which are absent in Horndeski-related theories. Such new higher-derivative terms lead to…

Discrete scalar curvature as a weighted sum of Ollivier-Ricci curvatures
Abigail Hickok, Andrew J. Blumberg
https://arxiv.org/abs/2510.04936 https://arxiv.…

Discrete scalar curvature as a weighted sum of Ollivier-Ricci curvatures
We study the relationship between discrete analogues of Ricci and scalar curvature that are defined for point clouds and graphs. In the discrete setting, Ricci curvature is replaced by Ollivier-Ricci curvature. Scalar curvature can be computed as the trace of Ricci curvature for a Riemannian manifold; this motivates a new definition of a scalar version of Ollivier-Ricci curvature. We show that our definition converges to scalar curvature for nearest neighbor graphs obtained by sampling from a m…

The two--component discrete KP hierarchy
Wenqi Cao, Jipeng Cheng, Jinbiao Wang
https://arxiv.org/abs/2508.07350 https://arxiv.org/pdf/2508.07350

The two--component discrete KP hierarchy
The discrete KP hierarchy is also known as the $(l-l')$--th modified KP hierarchy. Here in this paper, we consider the corresponding two--component generalization, called the two--component discrete KP (2dKP) hierarchy. Firstly, starting from the bilinear equation of the 2dKP hierarchy, we derive the corresponding Lax equation by the Shiota method, this is using scalar Lax operators involving two difference operators $Λ_1$ and $Λ_2$. Then starting from the 2dKP Lax equation, we obtain the cor…

Indirect detection of boosted light scalar dark matter
Arindam Basu
https://arxiv.org/abs/2509.07110 https://arxiv.org/pdf/2509.07110

Indirect detection of boosted light scalar dark matter
We explore the possibilities of detecting MeV-scale boosted dark matter (DM) via astrophysical observations. Given a particular model framework, using gamma-ray data from \texttt{COMPTEL} and \texttt{EGRET}, as well as neutrino constraints from the \texttt{Super-Kamiokande}, \texttt{Hyper-Kamiokande}, \texttt{JUNO}, diffuse supernova neutrino background (\texttt{DSNB}), and atmospheric neutrino observations, we find that boosted light scalar DM could be probed within the mass range of $\sim 20\…

Scalar-tensor theories in the Lyra geometry: Invariance under local transformations of length units and the Jordan-Einstein frame conundrum
E. C. Valad\~ao, Felipe Sobrero, Santiago Esteban Perez Bergliaffa
https://arxiv.org/abs/2510.08433

Scalar-tensor theories in the Lyra geometry: Invariance under local transformations of length units and the Jordan-Einstein frame conundrum
The Lyra geometry provides an interesting approach to develop purely geometrical scalar-tensor theories due to the natural presence of the Lyra scale function. This paper explores further the scale function source term to construct a theory on Lyra manifolds which contains proper generalizations of both Brans-Dicke gravity and the Einstein-Gauss-Bonnet scalar-tensor theory. It is shown that the symmetry group of gravitational theories on the Lyra geometry comprises not only coordinate transform…

Relaxation of Non-Convex Integral Functionals in the Multidimensional Scalar Case
Tommaso Bertin, Paulin Huguet
https://arxiv.org/abs/2510.07085 https://ar…

Relaxation of Non-Convex Integral Functionals in the Multidimensional Scalar Case
We study integral functionals defined on scalar Sobolev spaces of the form $$E[f]:u\mapsto \int_Ωf(x,u(x),\nabla u(x)) d x,$$ with an emphasis on the non-convex case, and the difficulties it involves to prevent the Lavrentiev phenomenon. We determine a formulation of the lower semicontinuous envelope of $E[f]$ with respect to various topologies and with fixed Lipschitz Dirichlet boundary conditions.

The dark sector of the Universe as a scalar field in Horndeski Gravity
M. S. Oliveira, F. A. Brito, J. A. V. Campos
https://arxiv.org/abs/2510.08459 https://

The dark sector of the Universe as a scalar field in Horndeski Gravity
In the present work, we study a subclass of Horndeski gravity characterized by a non-minimal derivative coupling between a scalar field and the Einstein tensor, as a possible alternative to alleviate the observational tension associated with estimates of the Hubble constant $H_{0}$. Two scenarios within a flat FRW spacetime were considered. In the first case, the scalar field mimics cold dark matter, whereas in the second case, it acts as dark energy. We derive the dynamical equations and perfo…

The volume comparison of symmetric spaces of non-compact type of rank 1
Jiaqi Chen, Yufei Shan, Yinghui Ye
https://arxiv.org/abs/2508.08674 https://arxiv.o…

The volume comparison of symmetric spaces of non-compact type of rank 1
Motivated by Schoen's conjecture on the volume functional for closed hyperbolic manifolds, we generalize the volume comparison theorem of Hu-Ji-Shi and establish an volume comparison result for symmetric spaces of non-compact type of rank 1 under a scalar curvature condition. Furthermore, we establish a rigidity result. Our proof utilizes the normalized Ricci-DeTurck flow to analyze the asymptotic behavior of the volume functional and derive monotonicity properties. This result extends the clas…

Reducibility of Scalar Generalized Verma Modules of Minimal Parabolic Type II
Jing Jiang, Siying Wu
https://arxiv.org/abs/2510.04215 https://arxiv.org/pdf/…

Reducibility of Scalar Generalized Verma Modules of Minimal Parabolic Type II
Let g be a exceptional complex simple Lie algebra and q be a parabolic subalgebra. A generalized Verma module M is called a scalar generalized Verma module if it is induced from a one-dimensional representation of q. In this paper, we will determine the first diagonal-reducible point of scalar generalized Verma modules associated to minimal parabolic subalgebras of exceptional Lie algebras by computing explicitly the Gelfand-Kirillov dimension of the corresponding highest weight modules.

Anti-de Sitter, plane waves and quantum field theory
Ugo Moschella
https://arxiv.org/abs/2509.09257 https://arxiv.org/pdf/2509.09257

Anti-de Sitter, plane waves and quantum field theory
We present a new plane-wave expansion of the Wightman functions of anti de Sitter scalar fields and showcase its conceptual and technical importance in AdS quantum field theory. We deduce from it a new integral representation of the Feynman propagator which helps in clarifying the relation between AdS Euclidean and Lorentzian Feynman diagrams in concrete examples. The plane-wave expansion makes it possible also to demonstrate numerous new nontrivial formulas for Bessel and Legendre functions, a…

WIMP Dark Matter within the dark photon portal
X. G. Wang, B. M. Loizos, A. W. Thomas
https://arxiv.org/abs/2508.08676 https://arxiv.org/pdf/2508.08676

WIMP Dark Matter within the dark photon portal
We test the dark photon as a portal connecting to the dark sector in the case of Dirac fermion and complex scalar dark matter with masses up to 1 TeV. Both the dark photon and the $Z$ boson contribute to the dark matter annihilation and dark matter--nucleon scattering processes. We derive the lower limits on the dark parameters from thermal relic density. The corresponding spin-independent dark matter--proton cross sections are compared with the upper bounds set by direct detection. We explore …

Algebraic magnetism stratification of the double scalar action on the projective plane
Arnaud Mayeux
https://arxiv.org/abs/2509.04274 https://arxiv.org/pdf…

Algebraic magnetism stratification of the double scalar action on the projective plane
We determine the pure magnets (certain monoids) for the double scalar action of $\mathbb{G}_m^2$ on $\mathbb{P}^2$, and compute the associated attractors, yielding a canonical, fully explicit stratification. This provides a concrete non-affine example illustrating the invariants of Algebraic Magnetism.

Rational minimax approximation of matrix-valued functions
Lei-Hong Zhang, Ya-Nan Zhang, Chenkun Zhang, Shanheng Han
https://arxiv.org/abs/2508.06378 https://

Rational minimax approximation of matrix-valued functions
In this paper, we present a rigorous framework for rational minimax approximation of matrix-valued functions that generalizes classical scalar approximation theory. Given sampled data $\{(x_\ell, {F}(x_\ell))\}_{\ell=1}^m$ where ${F}:\mathbb{C} \to \mathbb{C}^{s \times t}$ is a matrix-valued function, we study the problem of finding a matrix-valued rational approximant ${R}(x) = {P}(x)/q(x)$ (with ${P}:\mathbb{C} \to \mathbb{C}^{s \times t}$ a matrix-valued polynomial and $q(x)$ a nonzero scala…

Scalar Field Reconstructions of Holographic Dark Energy Models with Applications to Chaplygin Gas, DBI, Yang-Mills, and NLED Frameworks
Antonio Pasqua
https://arxiv.org/abs/2509.08029

Scalar Field Reconstructions of Holographic Dark Energy Models with Applications to Chaplygin Gas, DBI, Yang-Mills, and NLED Frameworks
In this study, we investigate the cosmological implications of two DE models, introduced by Chen \& Jing \cite{modelhigher} and by Granda \& Oliveros \cite{gohnde}. The first model comprises three principal components: one term proportional to the Hubble parameter $ H$ squared, and two additional terms proportional to the first and second time derivatives of $ H $, respectively. The second model, known as New Holographic Dark Energy (NHDE) model, can be considered a generalization of the Ricci …

Crosslisted article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/1]:
- Scalar quasinormal modes of magnetically charged black holes in a quintessence field
Ali Hasnain

Some rigidity results for static three-manifolds with boundary and positive scalar curvature
Vladimir Medvedev
https://arxiv.org/abs/2510.07296 https://arx…

Some rigidity results for static three-manifolds with boundary and positive scalar curvature
This paper studies three-dimensional compact static manifolds with boundary and positive scalar curvature. We prove that, under a suitable bound on the Ricci curvature, the orientable quotient of the Nariai static manifold with boundary $Nar_{-1,1}(\mathbb S^2)$ is the only such manifold with connected boundary, provided that the zero-level set of the potential is connected and does not intersect the boundary. We also establish a rigidity theorem for the upper hemisphere with the standard stati…

Brans-Dicke-like field for co-varying $G$ and $c$: observational constraints
J. Bezerra-Sobrinho, R. R. Cuzinatto, L. G. Medeiros, P. J. Pompeia
https://arxiv.org/abs/2509.09211

Brans-Dicke-like field for co-varying $G$ and $c$: observational constraints
Ref. [Symmetry 15 (2023) 709] introduced a Brans-Dicke-like framework wherein the scalar field $ϕ$ is composed of both $G$ and $c$ which, for this reason, co-vary according to $c^{3}/G=\text{constant}$. In this paper, we use observational data to constrain the supposed co-varying $G$ and $c$. The datasets include SN Ia, BAO and the value of $θ$ extracted from CMB data. A proxy function is demanded for the varying $c$ since the framework does not provide a closed set of equations for computing…

Supersymmetric truncation of N=3 dilaton Weyl multiplet
Soumya Adhikari, Aravind Aikot, Eswar Krishnan, Bindusar Sahoo
https://arxiv.org/abs/2509.09430 https://

Supersymmetric truncation of N=3 dilaton Weyl multiplet
We perform a supersymmetric truncation of the N=3 dilaton Weyl multiplet with an R-symmetry $SU(2) \times U(1) \times U(1)$, to obtain a 32+32 off-shell representation of N=2 conformal supergravity. Independently, we construct another 32+32 off-shell multiplet in N=2 conformal supergravity by coupling the N=2 scalar-tensor multiplet to the N=2 standard Weyl multiplet. We then establish the equivalence between these two multiplets through a mapping. We observe that this multiplet is gauge equiva…

Weakly turbulent saturation of the nonlinear scalar ergoregion instability
Nils Siemonsen
https://arxiv.org/abs/2510.07467 https://arxiv.org/pdf/2510.07467…

Weakly turbulent saturation of the nonlinear scalar ergoregion instability
We perform time-domain evolutions of the ergoregion instability on a horizonless spinning ultracompact spacetime in scalar theories with potential-type and derivative self-interactions mimicking the nonlinear structure of the Einstein equations. We find that the instability saturates by triggering a weakly turbulent direct cascade, which transfers energy from the most unstable and large-scale modes to small scales. The cascade's nonlinear timescales of each mode are orders of magnitude shorter …

The (3 1)-dimensional scalar field model analysis of beam spin asymmetry in the electroproduction of a scalar meson off a scalar target
Andrew Lundeen (North Carolina State U.), Chueng-Ryong Ji (North Carolina State U.), Yongwoo Choi (Inha U.), Ho-Meoyng Choi (Kyungpook National U.)
https://arxiv.org/abs/2510.00369

The (3+1)-dimensional scalar field model analysis of beam spin asymmetry in the electroproduction of a scalar meson off a scalar target
We explore exclusive scalar meson electroproduction off a scalar target in the (3+1)-dimensional scalar field model. This model analysis is a straightforward extension of the previous (1+1)-dimensional model analysis presented in Phys. Rev. D \textbf{105}, 096014 (2022). In contrast to the (1+1)-dimensional model, the (3+1)-dimensional model allows us to compute the beam spin asymmetry (BSA), which is proportional to the imaginary part of the product of the two Compton form factors (CFFs) that …

Homogenisation of a Passive Scalar Transported by Locally Supported White Noise
Federico Butori, Avi Mayorcas, Silvia Morlacchi
https://arxiv.org/abs/2509.06878 https://

Homogenisation of a Passive Scalar Transported by Locally Supported White Noise
Stochastic perturbations of transport type are a common and widely accepted way of representing turbulent effects in fluid dynamics models. In many known examples, it even leads to improved solution theory, a phenomenon known as \emph{regularization by noise}. A common thread in the recent literature on the topic is the so-called \emph{Itô-Stratonovich diffusion limit}. By selecting Stratonovich transport noise with carefully arranged vector fields, one can show that the solution of certain SP…

Interacting k-essence field with non-pressureless Dark Matter: Cosmological Dynamics and Observational Constraints
Saddam Hussain, Qiang Wu, Tao Zhu
https://arxiv.org/abs/2509.09202

Interacting k-essence field with non-pressureless Dark Matter: Cosmological Dynamics and Observational Constraints
We investigate a class of interacting dark energy and dark matter (DM) models, where dark energy is modeled as a $k$-essence scalar field with an inverse-square potential. Two general forms of interaction are considered: one proportional to the Hubble parameter, and another independent of the Hubble parameter, depending instead on combinations of the energy densities and pressures of the dark sectors. The dynamics are analyzed using a dynamical system stability framework by constructing an auto…

On Carrollian and Celestial Correlators in General Dimensions
Harshal Kulkarni, Romain Ruzziconi, Akshay Yelleshpur Srikant
https://arxiv.org/abs/2508.06602 https://

On Carrollian and Celestial Correlators in General Dimensions
Carrollian holography is a framework for flat space holography, suggesting that gravity in asymptotically flat spacetime in $D$ dimensions is dual to a conformal Carrollian field theory in $D - 1$ dimensions living at null infinity. In this work, we elaborate on the definition of Carrollian amplitudes for massless scalar fields in general dimensions and provide explicit expressions for the two-, three-, and four-point functions. We show that these amplitudes naturally arise from Lorentzian holo…

Ergoregion instability in bosonic stars: scalar mode structure, universality, and weakly nonlinear effects
Nils Siemonsen
https://arxiv.org/abs/2510.07468 https://

Ergoregion instability in bosonic stars: scalar mode structure, universality, and weakly nonlinear effects
Ultracompact spinning horizonless spacetimes with ergoregions are subject to the ergoregion instability. We systematically investigate the instability of a massless scalar field in a variety of rapidly spinning Proca stars and boson stars using WKB-, frequency-, and time-domain methods. We find universal features in the mode structure: the onset of the instability is signaled by a zero-mode, the mode frequencies and growth rates are related by a simple scaling relation in the small-frequency li…

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay
Shuli Chen
https://arxiv.org/abs/2508.04173 https://arxiv.o…

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay
We prove that if an orientable 3-manifold $M$ admits a complete Riemannian metric whose scalar curvature is positive and has at most $C$-quadratic decay at infinity for some $C > \frac{2}{3}$, then it decomposes as a (possibly infinite) connected sum of spherical manifolds and $\mathbb{S}^2\times \mathbb{S}^1$ summands. Consequently, $M$ carries a complete Riemannian metric of uniformly positive scalar curvature. The decay constant $\frac{2}{3}$ is sharp, as demonstrated by metrics on $\mathbb{…

Critical Masses and Numerical Computation of Massive Scalar Quasinormal Modes in Schwarzschild Black Holes
Matheus F. S. Alves, Bruno P. P\^onquio, L. G. Medeiros
https://arxiv.org/abs/2509.07235

Critical Masses and Numerical Computation of Massive Scalar Quasinormal Modes in Schwarzschild Black Holes
We present a comprehensive analysis of the quasinormal modes (QNMs) of a massive scalar field in Schwarzschild spacetime using two complementary numerical techniques: the Hill-determinant method and Leaver continued-fraction method. Our study systematically compares the performance, convergence, and consistency of the two approaches across a wide range of field masses and angular momenta. We identify three critical mass thresholds, $m_{\rm lim}$, $m_{\rm max}$, and $m_{zd}$, which govern qualit…

Charged scalar bosons under rotation and acceleration
M. Bordag, D. N. Voskresensky
https://arxiv.org/abs/2510.07438 https://arxiv.org/pdf/2510.07438

Charged scalar bosons under rotation and acceleration
Creation of charged spinless bosons from vacuum in the rigidly rotating frame is studied in presence of the external static electromagnetic fields, being formed either in the resting, or in the general rotating or in the local-flat frames. It is shown that the description remains the same in the resting and the local-flat frames. More specifically, the case of a solenoid (magnetic flux tube) embedded into the rotating empty cylinder (rotation frame) is studied in presence or absence of a static…

Scalar and spinor fields in gravitating cosmic string spacetimes
Marcos Silva, Azadeh Mohammadi
https://arxiv.org/abs/2508.04877 https://arxiv.org/pdf/2508…

Scalar and spinor fields in gravitating cosmic string spacetimes
We study the scattering behavior of scalar and spinor fields in the background of a gravitating cosmic string spacetime. The model explored here for the background vortex is non-abelian, becoming abelian in an appropriate limiting case. We adopted the formalism we developed in \cite{silva2021scattering}, modifying the standard partial wave approach. We apply the method for a scalar and also a fermion field interacting with the background spacetime with a nontrivial asymptotic structure. The spa…

Signature of polarized ultralight vector dark matter in pulsar timing arrays
Kimihiro Nomura, Hidetoshi Omiya, Takahiro Tanaka
https://arxiv.org/abs/2508.07358 https://

Signature of polarized ultralight vector dark matter in pulsar timing arrays
We investigate observational signatures of ultralight vector dark matter with masses $m \sim 10^{-24}$-$10^{-22}$ eV in pulsar timing arrays, taking into account general polarization states of the vector field. We find that vector dark matter induces pulsar timing residuals with nontrivial directional dependence, reflecting the anisotropic property and polarization structure specific to vector dark matter, unlike scalar dark matter. We also derive angular correlation curves of the timing residu…

Unified Dark Matter and Dark Energy in a model of Non-Canonical Scalar-Tensor Theory
Nihal Jalal Pullisseri, Sanil Unnikrishnan
https://arxiv.org/abs/2510.07103 https://

Unified Dark Matter and Dark Energy in a model of Non-Canonical Scalar-Tensor Theory
We consider a model of non-canonical scalar-tensor theory in which the kinetic term in the Brans-Dicke action is replaced by a non-canonical scalar field Lagrangian $\mathcal{L}(X, ϕ)= λX^αϕ^β- V(ϕ)$ where $X = (1/2) \partial_μ ϕ\partial^μ ϕ$ and $α$, $β$ and $λ$ are parameters of the model. This can be considered as a simple non-canonical generalization of the Brans-Dicke theory with a potential term which corresponds to a special case of this model with the values of the paramete…

Scale dependence improvement of the quartic scalar field thermal effective potential in the optimized perturbation theory
Lucas G. C\^amara, Marcus Benghi Pinto, Rudnei O. Ramos
https://arxiv.org/abs/2509.07250

Scale dependence improvement of the quartic scalar field thermal effective potential in the optimized perturbation theory
Perturbation theory, as well as most thermal field resummation methods widely used to study finite-temperature quantum field theories, presents a non-negligible renormalization scale dependence. To address this limitation, we propose an alternative method that combines the Renormalization Group Improvement (RGI) prescription for the thermal effective potential with the Optimized Perturbation Theory (OPT) variational resummation technique. Here, we apply this new framework, termed Variational Re…

Scalar Quasinormal modes in Reissner--Nordstr\"om black holes: implications for Weak Gravity Conjecture
Giorgio Di Russo, Anna Tokareva
https://arxiv.org/abs/2510.06813 htt…

Scalar Quasinormal modes in Reissner--Nordström black holes: implications for Weak Gravity Conjecture
Microscopic charged black holes can provide possibilities to test the consistency of the effective field theory (EFT) corrections to Einstein-Maxwell theory. A particularly interesting result is fixing the sign of a certain combination of EFT couplings from the requirement that all charged black holes should be able to evaporate (Weak Gravity Conjecture). In our work, we analysed the EFT corrections to a set of zero-damping quasinormal modes (QNMs) of the scalar wave probe in a nearly extremal …

Four-scalar model and spherically symmetric solution in $f({\cal T})$ theory
G. G. L. Nashed, A. Eid
https://arxiv.org/abs/2508.04758 https://arxiv.org/pdf…

Four-scalar model and spherically symmetric solution in $f({\cal T})$ theory
In this work, we investigate the construction of spherically symmetric solutions within the framework of modified teleparallel gravity, focusing in particular on $f({\cal T})$ theory, where ${\cal T}$ represents the torsion scalar. Conventional mimetic gravity and its extension with two scalar fields are unable to reproduce general spherically symmetric geometries in $f({\cal T})$ gravity, since consistency requires either a constant torsion scalar or a linear form of $f({\cal T})$, which corre…

Inflation and Dark Energy from Loop Quantum Kaluza-Klein Cosmology
Shengzhi Li, Yongge Ma, Faqiang Yuan, Xiangdong Zhang
https://arxiv.org/abs/2508.07962 https://

Inflation and Dark Energy from Loop Quantum Kaluza-Klein Cosmology
The five-dimensional loop quantum Kaluza-Klein cosmology is constructed based on the symmetric reduction of the connection formulation of the full theory. Through semiclassical analysis, the effective scalar constraint for the cosmological model coupled with a dust field is derived, incorporating the quantum fluctuations of geometry as a subleading order correction. It demonstrates that the quantum model has the correct classical limit. The explicit solutions to the equations of motion show tha…

Nonhomothetic complete periodic metrics with constant scalar curvature
Jo\~ao H. Andrade, Jeffrey S. Case, Paolo Piccione, Juncheng Wei
https://arxiv.org/abs/2510.04351 https://…

Nonhomothetic complete periodic metrics with constant scalar curvature
We show that there are infinitely many pairwise nonhomothetic, complete, periodic metrics with constant scalar curvature that are conformal to the round metric on $S^n\setminus S^k$, where $k < \frac{n-2}{2}$. These metrics are obtained by pulling back Yamabe metrics defined on products of $S^{n-k-1}$ and compact hyperbolic $(k+1)$-manifolds. Our main result proves that these solutions are generically distinct up to homothety. The core of our argument relies on classical rigidity theorems due t…

Exploring Scalar Leptoquarks at Muon Collider via Indirect Signatures and Right-Handed Neutrino-Assisted Decays
Subham Saha, Arvind Bhaskar, P. S. Bhupal Dev, Manimala Mitra
https://arxiv.org/abs/2509.04579

Exploring Scalar Leptoquarks at Muon Collider via Indirect Signatures and Right-Handed Neutrino-Assisted Decays
We explore the discovery prospects of the scalar leptoquark doublet $\widetilde{R}_{2}({3},{2},1/6)$ at a future high-energy muon collider, considering both direct and indirect search strategies. For indirect search, we probe the relevant Yukawa couplings by analyzing the dijet final state via virtual exchange of the leptoquark. Even with a sub-$\mathcal{O}(1)$ Yukawa coupling, we achieve a 5$σ$ sensitivity up to leptoquark mass $ \sim 4$ TeV ($7$ TeV) at $\sqrt{s}=5, (10)$ TeV center-of-mass …

On the universal content of the proper time flow in scalar and Yang-Mills theories
Gabriele Giacometti, Daniele Rizzo, Dario Zappala
https://arxiv.org/abs/2510.04896 https://

On the universal content of the proper time flow in scalar and Yang-Mills theories
We investigate the perturbative structure of the proper time renormalization group flow in scalar and Yang-Mills theories. Although the PT flow does not belong to the class of exact functional renormalization group equations, we show that it correctly reproduces the universal coefficients of the $β$-functions at one and two loops. For the ${\rm O(N)}$ scalar theory, we derive the one- and two-loop contributions to the running quartic coupling and also confirm the expected anomalous dimension. …

New test of modified gravity with gravitational wave experiments
N. M. Jim\'enez Cruz, Flavio C. S\'anchez, Gianmassimo Tasinato
https://arxiv.org/abs/2509.08273 https:/…

New test of modified gravity with gravitational wave experiments
We propose a new strategy to probe non-tensorial polarizations in the stochastic gravitational-wave (GW) background. Averaging over polarization angles, we find that three-point correlations of the GW signal vanish for tensor and vector modes, while scalar modes generically leave a nonzero imprint. This property makes the GW bispectrum a distinctive and robust diagnostic of scalar polarizations predicted in theories beyond General Relativity. We derive the corresponding response functions for g…

Cosmic Hysteresis in Reconstructed \textit{f(R)} Bounce Models: A Thermodynamic Study
Aritra Sanyal, Praveen Kumar Dhankar, Albert Munyeshyaka, Safiqul Islam, Farook Rahaman
https://arxiv.org/abs/2508.06590

Cosmic Hysteresis in Reconstructed \textit{f(R)} Bounce Models: A Thermodynamic Study
We study the emergence of cosmic hysteresis in cyclic bouncing universes within the framework of analytically reconstructed $f(R)$ gravity. Using exact bouncing scale factor solutions of exponential and power-law forms, we reconstruct the corresponding $f(R)$ models and investigate the thermodynamic behavior of a minimally coupled scalar field in these geometries. The pressure evolution during expansion and contraction phases is shown to be asymmetric, leading to a non-vanishing thermodynamic w…

Suppression of the induced gravitational wave background due to third-order perturbations
Raphael Picard, Luis E. Padilla, Karim A. Malik, David J. Mulryne
https://arxiv.org/abs/2509.07811

Suppression of the induced gravitational wave background due to third-order perturbations
In this work, we revisit and evaluate new source terms which contribute to the induced gravitational wave background. We study their respective contributions to the stochastic gravitational wave background by computing their spectral densities in a radiation-dominated universe. These terms appear at third order in cosmological perturbation theory, however, their correlations with primordial gravitational waves are non-trivial and appear at the same order as so-called scalar induced and scalar-t…

Suppression of scalar perturbations due to a heavy axion
Kai-Ge Zhang, Jian-Feng He, Chengjie Fu, Zong-Kuan Guo
https://arxiv.org/abs/2510.02828 https://ar…

Suppression of scalar perturbations due to a heavy axion
A fast-rolling axion can transfer its kinetic energy to gauge fields via the Chern-Simons coupling, leading to copious production of gauge quanta during inflation. The amplified gauge fields act as a source for both scalar and tensor perturbations. In this work, we propose a mechanism for suppressing scalar perturbations while sourcing strong tensor perturbations. We present an implementation of such a mechanism, demonstrating that sourced tensor perturbations are expected to be detected by upc…

Spinning Mellin amplitudes
Zhongjie Huang, Yichao Tang
https://arxiv.org/abs/2510.07388 https://arxiv.org/pdf/2510.07388

Spinning Mellin amplitudes
We propose a definition of Mellin amplitudes for conformal correlators involving arbitrary spinning operators in tensor representations of the Lorentz group. These representations cover all bosonic local operators. Our strategy is to perform discrete Mellin transforms on all scalar products involving polarization vectors, so that each polarization vector can be interpreted as the position of a fictitious scalar operator. We establish the general pole structures and factorization properties of t…

Light scalar mesons in D^ , D_s^ decays into three pseudoscalars
L. Maiani, A. D. Polosa, V. Riquer
https://arxiv.org/abs/2508.02884 https://arxiv.org/pdf…

Light scalar mesons in D^+, D_s^+ decays into three pseudoscalars
In response to recent experimental findings from the BES III and LHCb collaborations concerning the decay of open charm mesons into three pseudoscalars, we present evidence suggesting that the lightest scalar mesons can be characterized as diquark-antidiquark states mixed with the next-to-light, q\bar q, scalar mesons through six-fermion, instanton-induced interactions.

Gauge Dependence of Scalar-Induced Gravitational Waves from Isocurvature Perturbations: Analytical Results
Arshad Ali, Yang Lei, Mudassar Sabir
https://arxiv.org/abs/2510.07252 …

Gauge Dependence of Scalar-Induced Gravitational Waves from Isocurvature Perturbations: Analytical Results
We analytically study the gauge dependence of scalar-induced gravitational waves (SIGWs) sourced by primordial isocurvature perturbations during radiation domination (RD), working across nine gauges. Through analytical integrations of the kernels supported by graphical comparison we identify a clear dichotomy. We find that in some gauges viz. the uniform-density (UD), total-matter (TM), uniform-curvature (UC), comoving-orthogonal (CO) and transverse-traceless (TT) gauges the energy density grow…

Minkowski Space holography and Radon transform
Samrat Bhowmick, Koushik Ray
https://arxiv.org/abs/2509.04974 https://arxiv.org/pdf/2509.04974

Minkowski Space holography and Radon transform
We relate a free scalar field in the Minkowski spacetime with a scalar field with a certain scaling dimension on a sphere of codimension two. This is realised by first performing a Radon transform of the ``bulk" field on the Minkowski space to a field on a hyperplane identified with a de Sitter or Euclidean anti-de Sitter slice. The Radon transform is identified in turn with a scalar field obtained from a sphere of one further lower dimension through the so-called bulk reconstruction programme.…

Seed models in scalar field cosmology
I. V. Fomin
https://arxiv.org/abs/2510.06724 https://arxiv.org/pdf/2510.06724…

Seed models in scalar field cosmology
The correspondence of single-field cosmological models based on Einstein gravity to modern observational data is considered. A method is proposed to determine possible types of dynamics based on extreme values of the scalar field. It is shown that within the framework of this approach, it is possible to obtain a limited class of known inflationary models at early times. It is also shown that on large times the proposed approach leads to the $Λ$CDM--model in order to describe the dynamics of th…

A two scalar triplets model as common origin for dark matter, neutrino masses, baryon asymmetry and inflation
Sin Kyu Kang, Raymundo Ramos
https://arxiv.org/abs/2510.07107 https…

A two scalar triplets model as common origin for dark matter, neutrino masses, baryon asymmetry and inflation
We propose an extension of the standard model (SM) by two SU(2) triplet scalars and an inert SU(2) doublet. We demonstrate that this setup can simultaneously produce an inflaton and baryon asymmetry in the early universe, provide a dark matter candidate and explain the smallness of neutrino masses. The two triplets are particularly important as they become mediators for the production of dark matter and the generation of lepton asymmetry, as well as contribute an inflaton. The inert doublet res…

Kaluza-Klein monopole with scalar multiplet hair
Takaaki Ishii, Keiju Murata, Keita Sugawara
https://arxiv.org/abs/2507.23378 https://arxiv.org/pdf/2507.23…

Kaluza-Klein monopole with scalar multiplet hair
We construct Kaluza-Klein monopole solutions with scalar hair provied by a massive complex scalar field multiplet that minimally couples to five-dimensional Einstein gravity. Writing the scalar field multiplet in terms of the Wigner D-matrices, we introduce the ansatz of the scalar multiplet compatible with the symmetries of the Gross-Perry-Sorkin monopole, on which the scalar hair grows. We give the ansatz for a multiplet with arbitrary number of components, whereas we show numerical solutions…

Non-stationary wormholes with the presence of scalar fields and modified gravity
G. Alencar, R. D\'arlla, Shin'ichi Nojiri, Sergei D. Odintsov, Diego S\'aez-Chill\'on G\'omez
https://arxiv.org/abs/2508.05536

Non-stationary wormholes with the presence of scalar fields and modified gravity
Some novel regular spacetimes are considered that show a non-stationary wormhole structure. A Simpson-Visser-like procedure is applied to reconstruct these regular spacetimes, free of time-like and space-like singularities. Such a procedure is also applied to describe a regular cosmological expansion, where the universe reaches a minimum scale and then rebounds. This type of regular spacetime is achieved by considering some scalar fields as sources, with the appropriate kinetic term and scalar …

The 690 GeV scalar resonance
M. Consoli, L. Cosmai, F. Fabbri, G. Rupp
https://arxiv.org/abs/2509.06479 https://arxiv.org/pdf/2509.06479

The 690 GeV scalar resonance
Spontaneous symmetry breaking through the Higgs field has been experimentally confirmed as a basic ingredient of the Standard Model. However, the origin of the phenomenon may not be entirely clear, because, in perturbation theory, the vacuum turns out to be a metastable state. An alternative scenario was proposed that implies a second resonance of the Higgs field ${\cal H}$ with a well delimited mass $(M_H)^{\rm Theor} = 690\,(30)$ GeV. This stabilises the potential, but, owing to an $H$ coupli…

Bonanno-Reuter regular black hole: quasi-resonances, grey-body factors and absorption cross-sections of a massive scalar field
Zainab Malik
https://arxiv.org/abs/2510.06689 http…

Bonanno-Reuter regular black hole: quasi-resonances, grey-body factors and absorption cross-sections of a massive scalar field
We study quasinormal modes of a massive scalar field in the background of the regular, quantum-corrected Bonanno-Reuter black hole, which arises from the renormalization group improvement of the Schwarzschild solution within the framework of asymptotically safe gravity. The analysis is performed in both the time and frequency domains. We find that increasing the mass of the field leads to a strong suppression of the damping rate, and extrapolation to larger masses indicates the emergence of arb…

The Effects of Near-AdS$_2$ Backreaction on Matter Fields
Alejandra Castro, Jildou Hollander, Pedro J. Martinez, Evita Verheijden
https://arxiv.org/abs/2509.08046 https://

The Effects of Near-AdS$_2$ Backreaction on Matter Fields
We quantify how the two-point function of a real scalar field is affected by the distortion caused by deforming AdS$_2$ to a near-AdS$_2$ background. At tree-level, the backreaction of the geometry induces a finite-temperature correction to the correlator that arises from interactions that the background generates. For a massive field, we show that this correction is not captured by JT gravity coupled to matter: it requires a backreaction of the metric field. For a massless field, the correctio…

Self-resonant dark matter with $Z_4$ gauged symmetry
Lucca Radicce Justino, Seong-Sik Kim, Hyun Min Lee, Jun-Ho Song
https://arxiv.org/abs/2509.06728 https://

Self-resonant dark matter with $Z_4$ gauged symmetry
We present a new model for two-component scalar dark matter (DM), consisting of two complex scalar fields. In this model, both the DM components are stable due to the remaining $Z_4$ gauge symmetry, which is the remnant of the $U(1)^\prime$ local symmetry. When the resonance condition for DM masses is fulfilled, we show that the elastic co-scattering processes between two components of dark matter ($u$-channel processes) are enhanced due to the Yukawa potential with a small effective mass for t…

Vacuum polarization in the horizonless Bardeen metric
Andr\'es Boasso, Francisco D. Mazzitelli
https://arxiv.org/abs/2508.06465 https://arxiv.org/pdf/2…

Vacuum polarization in the horizonless Bardeen metric
We compute the renormalized stress-energy tensor for a massless quantum scalar field in the background of the horizonless Bardeen spacetime. Within the weak-field approximation, we show that the vacuum fluctuations differ significantly between conformally and non-conformally coupled fields, both in magnitude and in their behavior at short and intermediate distances. At large distances, we recover the universal asymptotic behavior previously observed in black hole and Newtonian star backgrounds.…

Newly scalarization of the Einstein-Euler-Heisenberg black hole
Lina Zhang, De-Cheng Zou, Yun Soo Myung
https://arxiv.org/abs/2510.07954 https://arxiv.org/…

Newly scalarization of the Einstein-Euler-Heisenberg black hole
Th spontaneous scalarization of the Einstein-Euler-Heisenberg (EEH) black hole is performed in the EEH-scalar theory by introducing an exponential scalar coupling (with $α$ coupling constant) to the Maxwell term.Here, the EEH black hole as a blad black hole is described by mass $M$ and magnetic charge $q$ with an action parameter $μ$. A choice of $μ=0.3$ gurantees a single horizon with unrestricted magnetic charge $q$. The onset scalarization of this black hole appears for a positive couplin…

Phase transitions of boson stars in scalar-tensor theories
Hyat Huang, Burkhard Kleihaus, Jutta Kunz, Meng-Yun Lai, Eugen Radu, De-Cheng Zou
https://arxiv.org/abs/2509.05202 htt…

Phase transitions of boson stars in scalar-tensor theories
In scalar-tensor theories, compact objects may experience spontaneous scalarization. Recently, it was shown that matter-induced spontaneous scalarization of neutron stars is predominantly associated with a first-order phase transition. Here we consider matter-induced spontaneous scalarization of boson stars. Employing a repulsive quartic potential for the bosonic matter, we find only first-order phase transitions.

Gravitational constant as a conserved charge in black hole thermodynamics
Wontae Kim, Mungon Nam
https://arxiv.org/abs/2509.08390 https://arxiv.org/pdf/250…

Gravitational constant as a conserved charge in black hole thermodynamics
Recent work has demonstrated that coupling constants in a given action can be promoted to the role of conserved charges. This is achieved by introducing pairs of field variables constructed from combinations of scalar and gauge fields. This framework naturally suggests that the gravitational constant itself can be interpreted as a conserved charge, arising from an associated gauge symmetry. In a modified four-dimensional Einstein-Hilbert action, we explicitly show that the gravitational constan…

Classification of Higgs sectors from group theoretical properties of UV gauge theories
Shinya Kanemura, Yushi Mura, Tetsuo Shindou
https://arxiv.org/abs/2509.05934 https://

Classification of Higgs sectors from group theoretical properties of UV gauge theories
Extended Higgs sectors are often introduced to explain phenomena beyond the standard model (BSM). The existence of multiple scalar fields may cause the Landau pole below the Planck scale. In this case, the low-energy theory may be replaced by an asymptotic-free gauge theory. In this paper, we consider an $\mathrm{SU}(2)$ gauge theory with confinement as such an ultra-violate theory of the extended Higgs sectors. We investigate the relation between scalar particle contents at the low energy and …

Cosmological dynamics in the theory of gravity both with non-minimal and non-minimal derivative coupling
Ravil R. Fatykhov, Sergey V. Sushkov
https://arxiv.org/abs/2510.04531 ht…

Cosmological dynamics in the theory of gravity both with non-minimal and non-minimal derivative coupling
This paper explores cosmological scenarios in a scalar-tensor theory of gravity, including both a non-minimal coupling with scalar curvature of the form $Rϕ^2$ and a non-minimal derivative coupling of the form $G^{μν}ϕ_{,μ}ϕ_{,ν}$ in the presence of a scalar field potential with the monomial dependence $V(ϕ) = V_0ϕ^n$. Critical points of the system were obtained and analyzed. In the absence of a scalar field potential, stability conditions for these points were determined. Using method…

Impact of space-time curvature coupling on the vacuum energy induced by a magnetic topological defect in flat space-time of arbitrary dimension
V. M. Gorkavenko, O. V. Barabash, I. V. Ivanchenko, P. O. Nakaznyi, M. S. Tsarenkova, N. S. Yakovenko, A. O. Zaporozhchenko
https://arxiv.org/abs/2509.06815

Impact of space-time curvature coupling on the vacuum energy induced by a magnetic topological defect in flat space-time of arbitrary dimension
We have investigated vacuum polarization of a quantized charged massive scalar field in the presence of a magnetic topological defect, modeled as an impenetrable tube of finite thickness carrying magnetic flux. At the tube's surface, we imposed a generalized Robin boundary condition. Our analysis demonstrates that, in flat space-time, the total induced vacuum energy is independent of the coupling $ξ$ of the scalar field's interaction with the space-time curvature only in the special cases of D…

Beyond scalar QED radiative corrections: the $\rho^{\pm}-\rho^0$ width difference, FSR corrections and their impact on $\Delta a_{\mu}^{\rm HVP, LO}[\tau]$
F. V. Flores-Baez, G. L\'opez Castro, Genaro Toledo
https://arxiv.org/abs/2510.02723

Beyond scalar QED radiative corrections: the $ρ^{\pm}-ρ^0$ width difference, FSR corrections and their impact on $Δa_μ^{\rm HVP, LO}[τ]$
In a previous paper arXiv:0708.3256 [hep-ph] we have calculated the radiative corrections to $ρ\to ππ$ decays, aiming to estimate the width difference between charged and neutral rho mesons. There, we have used the scalar QED approximation and taken the convection terms to keep the loop contributions finite in the case of charged rho meson decays. Here we compute the radiative corrections by considering the electromagnetic structure of charged mesons and we also include the full Lorentz stru…

Exploring Fermionic Dark Matter in the Presence of Scalar Leptoquarks
Shyamashish Dey, Santosh Kumar Rai
https://arxiv.org/abs/2509.02744 https://arxiv.org…

Exploring Fermionic Dark Matter in the Presence of Scalar Leptoquarks
We study an extension of the vector-like lepton dark matter model by introducing scalar leptoquarks that modify the properties of the vector-like lepton dark matter candidate, helping it evade stringent direct detection constraints. In the minimal setup, the neutral component of a pure $SU(2)$ doublet vector-like lepton fails to simultaneously account for the observed relic abundance while remaining consistent with current direct detection limits. We show that the addition of the scalar leptoqu…

Chaos in Horndeski cosmologies
Mikhail S. Volkov
https://arxiv.org/abs/2509.04590 https://arxiv.org/pdf/2509.04590

Chaos in Horndeski cosmologies
We analyze how a scalar field can affect the chaotic behaviour of homogeneous and isotropic Bianchi IX cosmologies. It is known that a massless, minimally coupled scalar field removes the chaos. However, in more general Horndeski theories, the situation is more complex. We find that in shift-symmetric $K$-essence theories, chaos persists if the scalar field contribution to the initial-value constraint is {\it subleading} compared to that of the anisotropies. In this case, solutions oscillate as…

Quintessence-Chameleon transitions in anisotropic Kiselev model of neutron stars
M. V. Pradosh Keshav (Christ University, Bangalore), V. Jithesh (Christ University, Bangalore), Kenath Arun (Christ University, Bangalore)
https://arxiv.org/abs/2508.04744

Quintessence-Chameleon transitions in anisotropic Kiselev model of neutron stars
We investigate a chameleon scalar field dynamically interacting with a Kiselev-type metric, where the static anisotropic fluid part of the metric is replaced by a density-dependent scalar field non-minimally coupled to curvature. This construction enables a transition from screened behavior in high-density regions-where the scalar acquires an effective mass m_ϕ\proptoρ^1/2-to unscreened quintessence dynamics at large scales, characterized by a critical screening radius r_\rm crit\propto m_ϕ^…

Constraining Effective Field Theories for dark matter candidates annihilating into gamma-ray lines with CTAO
Lucia Angel, Debasish Borah, Jacinto P. Neto, Farinaldo S. Queiroz, Vitor de Souza
https://arxiv.org/abs/2509.08050

Constraining Effective Field Theories for dark matter candidates annihilating into gamma-ray lines with CTAO
Gamma-ray lines constitute a smoking gun signature for annihilating dark matter particles. Imaging Atmospheric Cherenkov Telescopes and satellites have searched for such signals but null results have been reported thus far. We take advantage of the expected gamma-ray flux sensitivity of the Cherenkov Telescope Array Observatory (CTAO) toward the direction of the Galactic Centre and Dwarf Galaxies and its exquisite energy resolution to derive upper limits on fermionic and scalar dark matter anni…

New Junction Condition and Casimir effect for Network CFT
Sinan Pang, Ling Li, Tian-Ming Zhao, Rong-Xin Miao
https://arxiv.org/abs/2510.03080 https://arxiv…

New Junction Condition and Casimir effect for Network CFT
Recently, BCFT and ICFT have been generalized to the CFT on networks (NCFT). A key aspect of NCFT is how we connect the CFTs in different edges at the nodes of the network. For a free scalar field, one naturally requires that the scalar fields are continuous at the nodes. In this paper, we introduce a new junction condition that instead requires the normal derivative of the scalar field to be continuous at the node. We demonstrate that this new junction condition is consistent with the variatio…

A novel non-metricity extension of scalar-tensor gravity in spatially curved spacetime
Ghulam Murtaza, Avik De, Andronikos Paliathanasis
https://arxiv.org/abs/2509.00569 https:/…

A novel non-metricity extension of scalar-tensor gravity in spatially curved spacetime
We investigate a non-minimally coupled scalar field theory within the framework of scalar-tensor gravity formulated in non-metricity geometry, focusing on spatially curved FLRW spacetimes. Employing the dynamical systems approach with Hubble-normalized variables, we reformulate the field equations into an autonomous system and analyze the resulting critical points. Four distinct cases, determined by the scalar coupling and potential functions, are studied in detail. For each case, we identify t…

Braneworlds in Einstein-Scalar-Gauss-Bonnet gravity
Jos\'e Euclides G. Silva, Leandro A. Lessa, Roberto V. Maluf
https://arxiv.org/abs/2508.21725 https://

Braneworlds in Einstein-Scalar-Gauss-Bonnet gravity
We explore the features of a thick braneworld model in five dimensions governed by a Einstein-Gauss-Bonnet gravity with a non-minimal coupling to a dynamical scalar field. We consider two possible scalar-GB coupling function $χ(ϕ)$, one parity-even and another parity-odd function of the scalar field $ϕ$. For both choices, the scalar-Gauss-Bonnet non-minimal coupling produces a warped asymptotically $AdS_5$ spacetime even in the absence of a bulk cosmological constant. Outside the brane core,…

Scalar-Tensor Symmetric Teleparallel Gravity: Reconstruct the Cosmological History with a Steep Potential
Ghulam Murtaza, Avik De, Andronikos Paliathanasis
https://arxiv.org/abs/2510.03042

Scalar-Tensor Symmetric Teleparallel Gravity: Reconstruct the Cosmological History with a Steep Potential
Within the framework of scalar-non-metricity gravity, we introduce a steep potential together with a power-law coupling function and investigate whether the acceleration phases of the universe can be consistently described by this model. In the symmetric teleparallel formulation, and under a Friedmann--Lemaître--Robertson--Walker background, three distinct branches of the connection arise, leading to three different cosmological scenarios. We perform a detailed dynamical analysis of these mode…

$I-$Love$-$Curvature: Exploring compact stars' quasi-universal relation with curvature scalars
M. D. Danarianto, A. Sulaksono
https://arxiv.org/abs/2510.04260 https://

$I-$Love$-$Curvature: Exploring compact stars' quasi-universal relation with curvature scalars
We investigate quasi-universal relations in neutron stars linking standard observables, such as tidal deformability ($Λ$) and normalized moment of inertia ($\bar{I}$), with normalized curvature scalars in general relativity. These curvature scalars include the Ricci scalar ($\mathcal{R}$), the Ricci tensor contraction ($\mathcal{J}$), the Weyl scalar ($\mathcal{W}$), and the Kretschmann scalar ($\mathcal{K}$). We systematically examine both piecewise polytropic and color-flavor-locked equation…

Scalarization of Bardeen spacetime
Long-Xing Huang, Yong-Qiang Wang
https://arxiv.org/abs/2509.08549 https://arxiv.org/pdf/2509.08549

Scalarization of Bardeen spacetime
In this paper, we study the scalarization of the entire Bardeen spacetime which is constructed from a nonlinear magnetic monopole. We find that once the scalarization coupling parameter exceeds the scalarized threshold $a_t$, a scalarized Bardeen spacetime (SBS) solution exists for any magnetic charge $q$. However, the nature of the scalarization depends on the magnetic charge $q$. For $q$ less than a critical vaule $q_c$, when $a$ exceeds $a_t$, the scalar field emerges. As $a$ approaches $a_t…