Tootfinder

$2$-Split of Form Factors via BCFW Recursion Relation
Liang Zhang
https://arxiv.org/abs/2509.12564 https://arxiv.org/pdf/2509.12564

$2$-Split of Form Factors via BCFW Recursion Relation
Recently, \cite{Cao:2025hio} demonstrated the $2$-split for form factor under specific kinematic constraints. This factorization is analogous to that observed in scattering amplitudes. A key consequence of this structure is the presence of hidden zeros, where the form factors vanish on specific kinematic loci. We first establish these zeros and a new zero for the form factors of the composite operators ${\cal O} =\frac{1}{2}\Tr((\partial ϕ)^2) + \Tr(ϕ^3)$ and ${\cal O} = \Tr(F^2)$, and then e…

Wrong.
#google #ai #slop

H$^2$R: Hierarchical Hindsight Reflection for Multi-Task LLM Agents
Shicheng Ye, Chao Yu, Kaiqiang Ke, Chengdong Xu, Yinqi Wei
https://arxiv.org/abs/2509.12810 https://

H$^2$R: Hierarchical Hindsight Reflection for Multi-Task LLM Agents
Large language model (LLM)-based agents have shown strong potential in multi-task scenarios, owing to their ability to transfer knowledge across diverse tasks. However, existing approaches often treat prior experiences and knowledge as monolithic units, leading to inefficient and coarse-grained knowledge transfer. In this work, we propose a novel hierarchical memory architecture that enables fine-grained knowledge transfer by decoupling high-level planning memory from low-level execution memory…

Crosslisted article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[2/2]:
- Sy-FAR: Symmetry-based Fair Adversarial Robustness
Haneen Najjar, Eyal Ronen, Mahmood Sharif

Tricyclic graphs for which the second largest distance eigenvalue less than $-\frac{1}{2}$
Kexin Yang, Ligong Wang
https://arxiv.org/abs/2509.12640 https://

Tricyclic graphs for which the second largest distance eigenvalue less than $-\frac{1}{2}$
Let $G$ be a simple connected graph with vertex set $V(G)=\{v_{1}, v_{2}, \ldots, v_{n}\}$. The distance $d_G(v_i,v_j)$ between two vertices $v_i$ and $v_j$ of $G$ is the length of a shortest path between $v_i$ and $v_j$. The distance matrix of $G$ is defined as $D(G)=(d_G(v_i,v_j))_{n\times n}$. The second largest distance eigenvalue of \( G \) is the second largest eigenvalues of $D(G)$. Guo and Zhou [Discrete Math. 347(2024), 114082] proved that any connected graph with the second largest di…

Crosslisted article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/2]:
- HARMONIC: A Content-Centric Cognitive Robotic Architecture
Oruganti, Nirenburg, McShane, English, Roberts, Arndt, Gonzalez, Seo, Sentis

Analytic properties of representation zeta functions of groups of type $\mathsf{A_2}$
Valentin Blomer, Christopher Voll
https://arxiv.org/abs/2509.13254 https://

Analytic properties of representation zeta functions of groups of type $\mathsf{A_2}$
We study analytic properties of the representation zeta functions of arithmetic groups of type $\mathsf{A}_2$, such as $\textrm{SL}_3(\mathbb{Z})$. In particular, we uncover further poles of these functions and determine a natural boundary for their meromorphic continuation beyond their abscissa of convergence. We analyse both the number field and function field case.

High-pressure electronic states in semiconductors studied by infrared spectroscopy: metallization and band gap tuning in Mg$_2$Si, InAs and InSb
Hidekazu Okamura, Haruna Okazaki, Katsunori Marugaku, Subin Lee, Tomoki Yoneda, Haruhiko Udono, Yoshihisa Mori, Mitsuhiko Maesato, Hiroshi Kitagawa, Yuka Ikemoto, Taro Moriwaki
https://arxiv.org/a…

High-pressure electronic states in semiconductors studied by infrared spectroscopy: metallization and band gap tuning in Mg$_2$Si, InAs and InSb
In this article, a brief introduction is first given on infrared studies of materials at high pressures using a diamond anvil cell. Then, our recent results of high-pressure infrared studies are described for Mg$_2$Si, InAs, and InSb. For Mg$_2$Si, pressure-induced metallization at pressures near 10 GPa were clearly demonstrated for both carrier-doped and undoped Mg$_2$Si by large increases of reflectivity. For InAs and InSb, their band gap ($E_g$) increased rapidly and almost linearly with pre…

Replaced article(s) found for cs.RO. https://arxiv.org/list/cs.RO/new
[2/2]:
- mmWave Radar-Based Non-Line-of-Sight Pedestrian Localization at T-Junctions Utilizing Road Layout...
Park, Kim, Choi, Cho, Kim, Lee, Jeon, Kim

$L^2$-solutions to stochastic reaction-diffusion equations with superlinear drifts driven by space-time white noise^
Shijie Shang, Pengyu Wang, Tusheng Zhang
https://arxiv.org/abs/2509.12744

$L^2$-solutions to stochastic reaction-diffusion equations with superlinear drifts driven by space-time white noise^
Consider the following stochastic reaction-diffusion equation with logarithmic superlinear coefficient b, driven by space-time white noise W: $$ u_t(t,x) = (1/2)u_{xx}(t,x) + b(u(t,x)) + σ(u(t,x))W(dt,dx) $$ for $t > 0$ and $x \in [0,1]$, with initial condition $$ u(0,x) = u_0(x) $$ for $x \in [0,1]$, where $u_0 \in L^2[0,1]$. In this paper, we establish existence and uniqueness of probabilistically strong solutions in $C(R_+, L^2[0,1])$. Our result resolves a problem from [Ann. Probab. 47 (…

Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[2/7]:
- MooseAgent: A LLM Based Multi-agent Framework for Automating Moose Simulation
Tao Zhang, Zhenhai Liu, Yong Xin, Yongjun Jiao

WIYN Open Cluster Study. XCIII. An Extended Radial-Velocity Survey and Spectroscopic Binary Orbits in the Open Cluster NGC 188
Ritvik Sai Narayan, Evan Linck, Robert D. Mathieu, Aaron M. Geller
https://arxiv.org/abs/2509.12315

WIYN Open Cluster Study. XCIII. An Extended Radial-Velocity Survey and Spectroscopic Binary Orbits in the Open Cluster NGC 188
We present 32 new spectroscopic-binary orbits from our extended radial-velocity (RV) survey of the old ($6.4 \pm 0.2$ Gyr) open cluster NGC 188. Using data from the WIYN Open Cluster Study (WOCS) and APOGEE-2, this work nearly doubles the temporal baseline of the previous RV study of NGC 188. We obtain orbital solutions within a stellar sample that spans a magnitude range of $10.8 \leq \mathrm{G} \leq 16.5 \; (0.9\mbox{-}1.2 \; {M_\odot})$. With revised membership determinations using Gaia DR3 …

Determination of the fifth Busy Beaver value
The bbchallenge Collaboration, Justin Blanchard (Skelet), Daniel Briggs (Skelet), Konrad Deka (Skelet), Nathan Fenner (Skelet), Yannick Forster (Skelet), Georgi Georgiev (Skelet), Matthew L. House, Rachel Hunter, Iijil, Maja K\k{a}dzio{\l}ka, Pavel Kropitz, Shawn Ligocki, mxdys, Mateusz Na\'sciszewski, savask, Tristan St\'erin, Chris Xu, Jason Yuen, Th\'eo Zimmermann

Determination of the fifth Busy Beaver value
We prove that $S(5) = 47,176,870$ using the Coq proof assistant. The Busy Beaver value $S(n)$ is the maximum number of steps that an $n$-state 2-symbol Turing machine can perform from the all-zero tape before halting, and $S$ was historically introduced by Tibor Radó in 1962 as one of the simplest examples of an uncomputable function. The proof enumerates $181,385,789$ Turing machines with 5 states and, for each machine, decides whether it halts or not. Our result marks the first determination…

Leptogenesis from Dark Matter Coannihilation
Simran Arora, Debasish Borah, Arnab Dasgupta, P. S. Bhupal Dev, Devabrat Mahanta
https://arxiv.org/abs/2509.12333 https://

Leptogenesis from Dark Matter Coannihilation
We propose a minimal extension of the type-I seesaw model to realise leptogenesis from the co-annihilation of dark sector particles. The type-I seesaw model is extended with a singlet fermion and two singlet scalars charged under a $Z_{2}$ symmetry. The $Z_{2}$-odd singlet scalar is the dark matter candidate. Here the usual type-I seesaw mechanism generates neutrino mass, and a net lepton asymmetry is generated from the co-annihilation of the dark matter and the $Z_2$-odd singlet fermion. The $…

Replaced article(s) found for math-ph. https://arxiv.org/list/math-ph/new
[2/2]:
- Approximating the coefficients of the Bessel functions
Andrew Yao
https://

[2025-09-17 Wed (UTC), 2 new articles found for stat.ML Machine Learning]
toXiv_bot_toot

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[2/3]:
- Quantum teleportation over thermal microwave network
W. K. Yam, S. Gandorfer, F. Fesquet, M. Handschuh, K. E. Honasoge, A. Marx, R. Gross, K. G. Fedorov

Extended AI Interactions Shape Sycophancy and Perspective Mimesis
Shomik Jain, Charlotte Park, Matheus Mesquita Viana, Ashia Wilson, Dana Calacci
https://arxiv.org/abs/2509.12517

Extended AI Interactions Shape Sycophancy and Perspective Mimesis
We investigate whether long-context interactions between users and LLMs lead to AI mirroring behaviors. We focus on two forms of mirroring: (1) sycophancy -- the tendency of models to be overly agreeable with users, and (2) perspective mimesis -- the extent to which models reflect a user's perspective. Using two weeks of interaction context collected from 38 users, we compare model responses with and without long-context for two tasks: political explanations and personal advice. Our results dem…

Replaced article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[2/2]:
- Leading soft theorems on plane wave backgrounds
Sonja Klisch
https://

Bounds on bending in terms of the Schwartzian derivative and Teichm\"uller distance
Martin Bridgeman, Ming Hong Tee
https://arxiv.org/abs/2509.12493 https://

Bounds on bending in terms of the Schwartzian derivative and Teichmüller distance
Locally-univalent maps $f: Δ\rightarrow \hat{\mathbb{C}}$ can be parametrized by their Schwartzian derivatives $Sf$, a quadratic differential whose norm $\|Sf\|_\infty$ measures how close $f$ is to being Möbius. In particular, by Nehari, if $\|Sf\|_\infty < 1/2$ then $f$ is univalent and if $f$ is univalent then $\|Sf\|_\infty < 3/2$. Thurston gave another parametrization associating to $f$ a bending measured lamination $β_f$ which has a natural norm $\|β_…

Cislunar Resonant Transport and Heteroclinic Pathways: From 3:1 to 2:1 to L1
Bhanu Kumar, Anjali Rawat, Aaron J. Rosengren, Shane D. Ross
https://arxiv.org/abs/2509.12675 https:…

Cislunar Resonant Transport and Heteroclinic Pathways: From 3:1 to 2:1 to L1
Understanding the dynamical structure of cislunar space beyond geosynchronous orbit is critical for both lunar exploration and for high-Earth-orbiting trajectories. In this study, we investigate the role of mean-motion resonances and their associated heteroclinic connections in enabling natural semi-major axis transport in the Earth-Moon system. Working within the planar circular restricted three-body problem, we compute and analyze families of periodic orbits associated with the interior 4:1, …

Torsor Neron models of hyperkahler manifolds
Ljudmila Kamenova, Misha Verbitsky
https://arxiv.org/abs/2509.12369 https://arxiv.org/pdf/2509.12369

Torsor Neron models of hyperkahler manifolds
Let $M$ be a compact hyperkahler manifold equipped with a Lagrangian fibration $π:\; M \to X$, and $M'$ the smooth locus of $π$. We prove that over a complement to a codimension $\geq 2$ subset in $X$, the projection $π:\; M' \to X$ has a natural structure of a torsor over an abelian group bundle, which can be understood as a complex analytic variant of the Néron model construction. This gives an independent proof of a result by Y.-J. Kim.

Three characterizations of reducedness of spherical convex polygons
Marek Lassak
https://arxiv.org/abs/2509.12427 https://arxiv.org/pdf/2509.12427

Three characterizations of reducedness of spherical convex polygons
Denote by $S^2$ the two-dimensional sphere. A spherical convex body on $S^2$ which does not properly contain a spherical convex body of the same spherical thickness is called a reduced body. We give three characterizations of reducedness of spherical convex odd-gons on $S^2$. Analogous characterizations hold true also in the Euclidean and hyperbolic planes.

Maximal $2$-extensions of Pythagorean fields and Right Angled Artin Groups
Oussama Hamza, Christian Maire, J\'an Min\'a\v{c}, Nguyen Duy T\^an
https://arxiv.org/abs/2510.11970

Maximal $2$-extensions of Pythagorean fields and Right Angled Artin Groups
In this paper, we describe minimal presentations of maximal pro-$2$ quotients of absolute Galois groups of formally real Pythagorean fields of finite type. For this purpose, we introduce a new class of pro-$2$ groups: $Δ$-Right Angled Artin groups. We show that maximal pro-$2$ quotients of absolute Galois groups of formally real Pythagorean fields of finite type are $Δ$-Right Angled Artin groups. Conversely, let us assume that a maximal pro-$2$ quotient of an absolute Galois group is a $Δ$…

Zhu algebras of superconformal vertex algebras
Ryo Sato, Shintarou Yanagida
https://arxiv.org/abs/2509.13124 https://arxiv.org/pdf/2509.13124

Zhu algebras of superconformal vertex algebras
The purpose of this note is to demonstrate the advantages of Y.-Z.\ Huang's definition of the Zhu algebra (Comm.\ Contemp.\ Math., 7 (2005), no.\ 5, 649--706) for an arbitrary vertex algebra, not necessarily equipped with Hamiltonian operators or Virasoro elements, by achieving the following two goals: (1) determining the Zhu algebras of $N=1,2,3,4$ and big $N=4$ superconformal vertex algebras, and (2) introducing the Zhu algebras of $N_K=N$ supersymmetric vertex algebras.

[2025-09-17 Wed (UTC), 2 new articles found for cs.CC Computational Complexity]
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Measurement of neutron total cross-section of Mg and MgF$_{2}$ at MONNET (JRC-Geel) from transmission with fine multi-scattering corrections
Marco Antonio Mart\'inez-Ca\~nadas, Pablo Torres-S\'anchez, Miguel Mac\'ias, Javier Praena, Cristiano L. Fontana, C\'edric Bonaldi, Wouter Geerts, Stephan Oberstedt, Ignacio Porras
https://

Measurement of neutron total cross-section of Mg and MgF$_{2}$ at MONNET (JRC-Geel) from transmission with fine multi-scattering corrections
Neutron-transmission measurements through samples of magnesium fluoride (MgF$_2$) and pure magnesium were performed to obtain the (n, tot) cross section for all isotopes involved, $^{19}$F and $^{24-26}$Mg. Lithium-glass detectors were used in conjunction with the neutron time-of-flight technique. The measurement campaign was performed at the MONNET fast-neutron source of the European Commission Joint Research Centre (JRC-Geel, Belgium). Highly precise corrections for multiple scattering were c…

Revealing superconducting gap in La$_3$Ni$_2$O$_7$-$\delta$ by Andreev reflection spectroscopy under high pressure
Jianning Guo, Yuzhi Chen, Yulong Wang, Hualei Sun, Deyuan Hu, Meng Wang, Xiaoli Huang, Tian Cui
https://arxiv.org/abs/2509.12601

Revealing superconducting gap in La$_3$Ni$_2$O$_7$-$δ$ by Andreev reflection spectroscopy under high pressure
The recent discovery of compressed superconductivity at 80~K in La$_3$Ni$_2$O$_7$-$δ$ has brought nickelates into the family of unconventional high-temperature superconductors. However, due to the challenges of directly probing the superconducting pairing mechanism under high pressure, the pairing symmetry and gap structures of nickelate superconductors remain under intense debate. In this work, we successfully determine the microscopic information on the superconducting gap structure of La$_3…

[2025-09-17 Wed (UTC), 2 new articles found for cs.DS Data Structures and Algorithms]
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Timbre-Adaptive Transcription: A Lightweight Architecture with Associative Memory for Dynamic Instrument Separation
Ruigang Li, Yongxu Zhu
https://arxiv.org/abs/2509.12712 https…

Timbre-Adaptive Transcription: A Lightweight Architecture with Associative Memory for Dynamic Instrument Separation
Existing multi-timbre transcription models struggle with generalization beyond pre-trained instruments and rigid source-count constraints. We address these limitations with a lightweight deep clustering solution featuring: 1) a timbre-agnostic backbone achieving state-of-the-art performance with only half the parameters of comparable models, and 2) a novel associative memory mechanism that mimics human auditory cognition to dynamically encode unseen timbres via attention-based clustering. Our b…

A computational method for type I error rate control in power-maximizing response-adaptive randomization
Stef Baas, Lukas Pin, Sof\'ia S. Villar, William F. Rosenberger
https://arxiv.org/abs/2509.12448

A computational method for type I error rate control in power-maximizing response-adaptive randomization
Maximizing statistical power in experimental design often involves imbalanced treatment allocation, but several challenges hinder its practical adoption: (1) the misconception that equal allocation always maximizes power, (2) when only targeting maximum power, more than half the participants may be expected to obtain inferior treatment, and (3) response-adaptive randomization (RAR) targeting maximum statistical power may inflate type I error rates substantially. Recent work identified issue (3)…

[2025-09-17 Wed (UTC), 2 new articles found for q-fin.TR Trading and Market Microstructure]
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On Shrinking Ricci solitons with positive isotropic curvature in higher dimensions
Zhengnan Chen
https://arxiv.org/abs/2509.13183 https://arxiv.org/pdf/250…

On Shrinking Ricci solitons with positive isotropic curvature in higher dimensions
For all dimensions $n\geq5$, let $(M,g,f)$ be a $n-$dimensional shrinking gradient Ricci soliton with strictly positive isotropic curvature (PIC). Suppose furthermore that $\nabla^2f$ is $2-$nonnegative and the curvature tensor is WPIC1 at some point $\bar{x}\in M$. Then $(M,g)$ must be a quotient of either $S^{n}$ or $S^{n-1}\times\mathbb{R}$. Our result partially extends the classification result for 4-dimensional PIC shrinking Ricci solitons established in [LNW16] to highter dimensions. Comb…

Starting the fourth chapter "The Rise of the Web" of #ThisIsForEveryone, I am pleasently surprised to find out a librarian — Louise Addis of the Stanford Linear Accelerator Center (SLAC) — played an important, supportive role in the very first days of the web.

Irreducibility of the Cuboid Polynomial $P_{a,u}(t)$ via a Rank-Zero Elliptic Curve
Valery Asiryan
https://arxiv.org/abs/2510.11768 https://arxiv.org/pdf/2…

Irreducibility of the Cuboid Polynomial $P_{a,u}(t)$ via a Rank-Zero Elliptic Curve
For coprime integers $a\neq u>0$ put $Δ:=u^2-a^2\neq0$ and $A_0:=a^2u^2$. Consider \[ P_{a,u}(t)=t^8+6Δ\,t^6+(Δ^2-2A_0)\,t^4-6ΔA_0\,t^2+A_0^2\in\mathbb{Z}[t]. \] We prove $P_{a,u}(t)$ is irreducible over $\mathbb{Z}$. The argument is: (1) over $K=\mathbb{Q}(\sqrt2)$, $P_{a,u}$ splits as $H_-H_+$ with coprime conjugate quartics $H_\pm$; (2) any hypothetical $K$--factorization of $H_\pm$ forces a rational point on a fixed genus--one quartic $\mathcal{C}: v^2=16y^4+136y^2+1$ with the structura…

Archival Search for IceCube Sub-TeV Neutrino Counterparts to Sub-Threshold Gravitational Wave Events from the Third Observing Run of the LIGO-Virgo-KAGRA
Tista Mukherjee (for the IceCube Collaboration)
https://arxiv.org/abs/2509.13003

Archival Search for IceCube Sub-TeV Neutrino Counterparts to Sub-Threshold Gravitational Wave Events from the Third Observing Run of the LIGO-Virgo-KAGRA
The IceCube Neutrino Observatory actively participates in multimessenger follow-ups of gravitational-wave (GW) events. With the release of the Gravitational-Wave Transient Catalogue (GWTC)-2.1 and -3, the sub-threshold GW event information from the third observation run of the LIGO-Virgo-KAGRA (LVK) detectors is publicly available. These sub-threshold GWs are identified via template-based and minimally modelled search pipelines. Neutrino counterparts can enhance their astrophysical significance…

[2025-09-17 Wed (UTC), 2 new articles found for q-bio.NC Neurons and Cognition]
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[2025-10-17 Fri (UTC), 2 new articles found for math.AC Commutative Algebra]
toXiv_bot_toot

SRaFTE: Super-Resolution and Future Time Extrapolation for Time-Dependent PDEs
Hardeep Bassi, Yuanran Zhu, Erika Ye, Pu Ren, Alec Dektor, Harish S. Bhat, Chao Yang
https://arxiv.org/abs/2509.12220

SRaFTE: Super-Resolution and Future Time Extrapolation for Time-Dependent PDEs
We present SRaFTE (Super-Resolution and Future Time Extrapolation), a two-phase learning framework that couples coarse grid solvers with neural operators to super-resolve and forecast fine grid dynamics for time-dependent partial differential equations (PDEs). In our construction, Phase 1 learns a super-resolution map from coarse to fine solutions, while Phase 2 embeds this operator in a predictor-corrector loop with the coarse solver, forming an operator composition that serves as a surrogate …

Splitting Isotope Shift in the $1s2p\,^3\!P_{0,1,2}$ Fine-Structure Triplet in $^{12,13,14}$C$^{4 }$: Experiment and Theory
Patrick M\"uller, Kristian K\"onig, Emily Burbach, Gordon W. F. Drake, Phillip Imgram, Bernhard Maa\ss, Titamarie M. Maggio, Wilfried N\"ortersh\"auser, Julien Spahn
https://arxiv.org/abs/2510.1377…

A perspective on transonic buffet over an unswept finite wing
Magan Singh, Kartik Venkatraman
https://arxiv.org/abs/2509.12642 https://arxiv.org/pdf/2509.1…

A perspective on transonic buffet over an unswept finite wing
Transonic buffet is a well-known aerodynamic instability of shock/boundary layer interaction in the transonic regime for aircraft. So far, this phenomenon has typically been investigated by modal and correlation analyses. Here, we present a perspective on low-frequency unsteadiness, of the order of St ~ O(-2), in transonic buffet, using results from temporal evolution of skin friction lines and correlation analysis on the surface of Benchmark Supercritical Wing (BSCW) with an aspect ratio AR = …

Increasing science yield with a twilight observing program with the SCALES instrument at Keck
Isabel J. Kain, Carlos Alvarez, John M. O'Meara, Marc Kassis, Peter Wizinowich, Antonin Bouchez, Jim Lyke, Randy Campbell, Avinash Surendran, Imke de Pater, Katherine de Kleer, Ned Molter, Erin Redwing, Rosalie McGurk, Steph Sallum, Andrew Skemer
https://

Increasing science yield with a twilight observing program with the SCALES instrument at Keck
While astronomical twilight closes the observing window for optical astronomers, the infrared sky remains dark even through sunrise, allowing IR astronomers to observe through twilight. The Slicer Combined with an Array of Lenslets for Exoplanet Spectroscopy (SCALES) instrument is a 2-5 micron coronagraphic integral field spectrograph scheduled to arrive at Keck in early 2026. SCALES has the potential to execute exciting science and support the astronomical community and upcoming NASA missions …

Exploring the spatially-resolved capabilities of the J-PAS survey with Py2DJPAS
J. E. Rodr\'iguez-Mart\'in, L. A. D\'iaz-Garc\'ia, R. M. Gonz\'alez Delgado, G. Mart\'inez-Solaeche, R. Garc\'ia-Benito, A. de Amorim, J. Thain\'a-Batista, R. Cid Fernandes, I. M\'arquez, A. Fern\'andez-Soto, I. Breda, R. Abramo, J. Alcaniz, N. Ben\'itez, S. Bonoli, S. Carneiro, A. J. Cenarro, D. Crist\'obal-Hornillos, R. A. Dupke, A. Ederoclite, A. Hern\'…

Exploring the spatially-resolved capabilities of the J-PAS survey with Py2DJPAS
We present Py2DJPAS, a Python-based tool to automate the analysis of spatially resolved galaxies in the \textbf{miniJPAS} survey, a 1~deg$^2$ precursor of the J-PAS survey, using the same filter system, telescope, and Pathfinder camera. Py2DJPAS streamlines the entire workflow: downloading scientific images and catalogs, performing PSF homogenization, masking, aperture definition, SED fitting, and estimating optical emission line equivalent widths via an artificial neural network. We validate…

On a long exact sequence of groups of equivalence classes of 2d $\mathcal{N}{=}(0,1)$ SQFTs
Yuji Tachikawa
https://arxiv.org/abs/2509.12481 https://arxiv.o…

On a long exact sequence of groups of equivalence classes of 2d $\mathcal{N}{=}(0,1)$ SQFTs
Strongly motivated by a mathematical result by Lin and Yamashita (arXiv:2412.02298), we describe a long exact sequence formed by groups of equivalence classes of two-dimensional $\mathcal{N}{=}(0,1)$ supersymmetric quantum field theories (SQFTs) with and without $SU(2)$ symmetry. As an application, we study chiral fermions in heterotic compactifications with $SU(2)$ symmetry of level one to four dimensions, and show that each even-dimensional irreducible representation of $SU(2)$ appears even t…

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[2/5]:
- Calibration and Uncertainty for multiRater Volume Assessment in multiorgan Segmentation (CURVAS) ...
Marin, et al.

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[2/6]:
- TripScore: Benchmarking and rewarding real-world travel planning with fine-grained evaluation
Yincen Qu, Huan Xiao, Feng Li, Gregory Li, Hui Zhou, Xiangying Dai

Beyond conventional half-metals: gapless states and spin gapless semiconducting behavior in X$_2$MnGa (X = Ti, Ir) Heusler compounds
N. Bouteldja, N. Hacini, I. Ouadha, H. Rached
https://arxiv.org/abs/2509.12803

Beyond conventional half-metals: gapless states and spin gapless semiconducting behavior in X$_2$MnGa (X = Ti, Ir) Heusler compounds
The search for high-performance spintronic materials motivates the exploration of Heusler alloys with unconventional electronic properties. Using density functional theory with Hubbard correction (DFT+$U$, $U = 4$~eV), we investigate X$_2$MnGa (X = Ti, Ir) alloys, which stabilize in the ferromagnetic L2$_1$-type structure with strong thermodynamic stability. Electronic structure calculations reveal contrasting behaviors: Ti$_2$MnGa transitions from a metallic L2$_1$-type phase to a spin gapless…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/5]:
- DoctorAgent-RL: A Multi-Agent Collaborative Reinforcement Learning System for Multi-Turn Clinical...
Yichun Feng, Jiawei Wang, Lu Zhou, Zhen Lei, Yixue Li

On the Diminished Sombor Index of Fixed-Order Molecular Graphs With Cyclomatic Number at Least 3
Abdulaziz Mutlaq Alotaibi, Abdulaziz M. Alanazi, Taher S. Hassan, Akbar Ali
https://arxiv.org/abs/2509.12294

On the Diminished Sombor Index of Fixed-Order Molecular Graphs With Cyclomatic Number at Least 3
For a graph $G$ with edge set $E$, let $d(u)$ denote the degree of a vertex $u$ in $G$. The diminished Sombor (DSO) index of $G$ is defined as $DSO(G)=\sum_{uv\in E}\sqrt{(d(u))^2+(d(v))^2}(d(u)+d(v))^{-1}$. The cyclomatic number of a graph is the smallest number of edges whose removal makes the graph acyclic. A connected graph of maximum degree at most $4$ is known as a molecular graph. The primary motivation of the present study comes from a conjecture concerning the minimum DSO index of fixe…

Replaced article(s) found for cs.RO. https://arxiv.org/list/cs.RO/new
[1/2]:
- No Plan but Everything Under Control: Robustly Solving Sequential Tasks with Dynamically Composed...
Vito Mengers, Oliver Brock

Search for the $D^{*}\bar{D}^{*}$ Molecular State $X_{2}(4013)$ in $K^{-}p$ and $pp$ Collisions
Min Yuan, Yin Huang
https://arxiv.org/abs/2510.12292 https://

Search for the $D^{*}\bar{D}^{*}$ Molecular State $X_{2}(4013)$ in $K^{-}p$ and $pp$ Collisions
Motivated by the interpretation of $X(3872)$ as a $D\bar{D}^{*}$ molecular state, heavy-quark spin symmetry predicts a spin-2 partner, $X_{2}(4013)$, which can be regarded as a $D^{*}\bar{D}^{*}$ molecule with quantum numbers $J^{PC} = 2^{++}$. Its experimental confirmation, however, remains elusive. In this work, we investigate the production mechanisms of $X_{2}(4013)$ in the reactions $K^{-}p \to Λ_{c}^{+} D_{s}^{-} X_{2}(4013)$ and $pp \to Λ_{c}^{+}Λ_{c}^{+} X_{2}(4013)$ within an effect…

The Adaptation Paradox: Agency vs. Mimicry in Companion Chatbots
T. James Brandt, Cecilia Xi Wang
https://arxiv.org/abs/2509.12525 https://arxiv.org/pdf/25…

The Adaptation Paradox: Agency vs. Mimicry in Companion Chatbots
Generative AI powers a growing wave of companion chatbots, yet principles for fostering genuine connection remain unsettled. We test two routes: visible user authorship versus covert language-style mimicry. In a preregistered 3x2 experiment (N = 162), we manipulated user-controlled avatar generation (none, premade, user-generated) and Language Style Matching (LSM) (static vs. adaptive). Generating an avatar boosted rapport ($ω^2$ = .040, p = .013), whereas adaptive LSM underperformed static st…

Distorted black ring with rotation on the two-sphere
Matin Tavayef, Shohreh Abdolrahimi, Ivan Booth, Hari Kunduri
https://arxiv.org/abs/2509.12332 https://…

Distorted black ring with rotation on the two-sphere
We construct a stationary black ring spacetime with rotation only along the $S^2$ direction that is free of conical singularities. We use a solution-generating technique to add external gravitational fields and show these can be used to remove conical singularities from an asymptotically flat black ring with a rotating $S^2$.

The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
Juanita Duque-Rosero, Christopher Keyes, Andrew Kobin, Manami Roy, Soumya Sankar, Yidi Wang
https://arxiv.org/abs/2509.13248

The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
We characterize the integral Hasse principle for an infinite family of spherical stacky curves with genus $g\in [2/3,1)$ that are defined using generalized Fermat equations, extending a result of Darmon and Granville. We then apply our methods to find that a positive proportion of curves in our family satisfy the integral Hasse principle.

Balloon Animal Maps with Applications to the Cohomology of Hypertoric Hitchin Systems
Evan Sundbo
https://arxiv.org/abs/2509.12368 https://arxiv.org/pdf/25…

Balloon Animal Maps with Applications to the Cohomology of Hypertoric Hitchin Systems
In this article we introduce the notion of a balloon animal map between broken toric varieties and construct several long exact sequences in cohomology related to them. We give a new proof of the deletion-contraction relation on hypertoric Hitchin systems of Dansco-Mcbreen-Shende and present some refinements of it. The end result is a formula for the Poincaré polynomial of any hypertoric Hitchin system associated to a graph with first Betti number 2 along with a recipe to calculate the Poincar…

Prethermal gauge structure and surface growth in $\mathbb{Z}_2$ lattice gauge theories
Lukas Homeier, Andrea Pizzi, Hongzheng Zhao, Jad C. Halimeh, Fabian Grusdt, Ana Maria Rey
https://arxiv.org/abs/2510.12800

Prethermal gauge structure and surface growth in $\mathbb{Z}_2$ lattice gauge theories
Universal aspects of thermalization in interacting many-body systems are typically challenging to derive microscopically, yet provide a powerful framework for understanding emergent phenomena. Here, we numerically study the mean-field dynamics of a $(2+1)$D spin system with thousands of spins and show that experimentally-feasible two-body Ising interactions can stabilize a prethermal $\mathbb{Z}_2$ lattice gauge structure with dynamical matter, manifested by a gauge-invariant plateau with expon…

Levinson's theorem for dissipative systems, or how to count the asymptotically disappearing states
A. Alexander, J. Faupin, S. Richard
https://arxiv.org/abs/2509.12799 https…

Levinson's theorem for dissipative systems, or how to count the asymptotically disappearing states
We consider dissipative Schroedinger operators of the form $H=-Δ+V(x)$ on $L^2(\mathbb R^3)$, with $V(x)$ a complex, bounded and decaying potential with a non-positive imaginary part. We prove a topological version of Levinson's theorem corresponding to an index theorem for the discrete, complex spectrum of $H$.

Two unseen massive white dwarf candidates in close binaries
Yuta Shiraishi, Kenta Hotokezaka, Kento Masuda, Satoshi Honda, Ataru Tanikawa, Soetkin Janssens, Takato Tokuno, Takumi Shimasue, Ryoga Honjo, Bun'ei Sato, Masashi Omiya, Akito Tajitsu, Hideyuki Izumiura
https://arxiv.org/abs/2509.12808…

Two unseen massive white dwarf candidates in close binaries
We report the discovery of two binary systems, each consisting of a slightly bloated G-type main-sequence star and an unseen companion, identified through photometric data from TESS and radial velocity variation from Gaia. High-resolution spectroscopy confirms orbital periods of 1.37 and 2.67 days with circular orbits. The visible components have masses of $\sim 0.9\,M_\odot$, while the minimum masses of the unseen companions are $1.073^{+0.058}_{-0.060} M_\odot$ and $0.919^{+0.049}_{-0.051} M_…

Crosslisted article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[1/2]:
- Flexible Multimodal Neuroimaging Fusion for Alzheimer's Disease Progression Prediction
Benjamin Burns, Yuan Xue, Douglas W. Scharre, Xia Ning

Crosslisted article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[2/7]:
- A Variational Physics-Informed Neural Network Framework Using Petrov-Galerkin Method for Solving ...
Vijay Kumar, Gautam Singh

On the uniqueness of the smallest embedding cover
Dan Haran
https://arxiv.org/abs/2509.12766 https://arxiv.org/pdf/2509.12766

On the uniqueness of the smallest embedding cover
Using group theoretic methods only, we prove the uniqueness of the smallest embedding cover of a profinite group, Problem 36.2.25 of Field Arithmetic, 4th edition.

Crosslisted article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[1/2]:
- MEUV: Achieving Fine-Grained Capability Activation in Large Language Models via Mutually Exclusiv...
Xin Tong, Zhi Lin, Jingya Wang, Meng Han, Bo Jin

Toroidal Cartesian Products Where One Factor is 3-Connected
Elizabeth Badgett, Christian Millichap
https://arxiv.org/abs/2509.12354 https://arxiv.org/pdf/2…

Toroidal Cartesian Products Where One Factor is 3-Connected
In this paper, we provide a partial classification of Cartesian products of graphs that embed on the torus where one factor is $3$-connected. We show that if $G \square H$ embeds on the torus and $G$ is $3$-connected, then $H$ must be a path on two vertices, $P_2$, and we provide significant evidence that $G$ must be outer-cylindrical. At the same time, we show that if $G$ is outer-cylindrical, then $G \square P_2$ embeds on the torus. This all leads us to conjecture that if $G$ is $3$-connecte…

[2025-09-17 Wed (UTC), 2 new articles found for math.QA Quantum Algebra]
toXiv_bot_toot

Replaced article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[2/2]:
- Hydrostatic equilibrium in multi-Weyl semimetals
Jewel Kumar Ghosh, Francisco Pe\~na-Ben\'itez, Patricio Salgado-Rebolledo

Redefining interiors and envelopes: hydrogen-silicate miscibility and its consequences for the structure and evolution of sub-Neptunes
James G. Rogers, Edward D. Young, Hilke E. Schlichting
https://arxiv.org/abs/2509.13320

Redefining interiors and envelopes: hydrogen-silicate miscibility and its consequences for the structure and evolution of sub-Neptunes
We present the first evolving interior structure model for sub-Neptunes that accounts for the miscibility between silicate magma and hydrogen. Silicate and hydrogen are miscible above $\sim 4000$K at pressures relevant to sub-Neptune interiors. Using the H$_2$-MgSiO$_3$ phase diagram, we self-consistently couple physics and chemistry to determine the radial extent of the fully miscible interior. Above this region lies the envelope, where hydrogen and silicates are immiscible and exist in both g…

Strain-tuned magnetoelectric properties of monolayer NiX$_2$ (X = I, Br): a first-principles analysis
Ali Ghojavand, Cem Sevik, Milorad V. Milo\v{s}evi\'c
https://arxiv.org/abs/2509.13182

Strain-tuned magnetoelectric properties of monolayer NiX$_2$ (X = I, Br): a first-principles analysis
Using \textit{ab initio} methodology, we reveal a strain-mediated approach to precisely tune the magnetoelectric coupling and spin-driven emergent polarization of NiX$_2$ (X = I, Br) monolayers. In the absence of strain, these systems spontaneously stabilize non-collinear spin states that break the inversion symmetry, inducing a ferroelectric polarization in the plane of the material. We show that biaxial and uniaxial strains broadly modulate the magnetoelectric response in these materials thro…

Non-Abelian Gauge Theory of Spin Triplet Superconductivity and Spin Triplet Magnon Spintronics
Franklin H. Cho, Y. M. Cho, Pengming Zhang, Li-Ping Zou
https://arxiv.org/abs/2509.12988

Non-Abelian Gauge Theory of Spin Triplet Superconductivity and Spin Triplet Magnon Spintronics
We present an SU(2)xU(1) Ginzburg-Landau theory of the spin triplet ferromagnetic superconductivity which could also describe the physics of the spin triplet magnon spintronics, where the SU(2) gauge interaction of the magnon plays an important role. The theory is made of the massive photon, massless neutral magnon, massive non-Abelian magnon, and the Higgs scalar field which represents the density of the Copper pair. It has the following characteristic features, the long range magnetic interac…

Evolution of low surface brightness ultra-thin galaxies: The role of dark matter halo and bar formation on disk thickness
K. Aditya, Arunima Banerjee
https://arxiv.org/abs/2509.12966

Evolution of low surface brightness ultra-thin galaxies: The role of dark matter halo and bar formation on disk thickness
We investigate how stellar disks sustain their ultrathin structure throughout their evolution. We follow the evolution of ultrathin stellar disks with varying dark matter (DM) halo concentration ($c$) using collisionless $N$-body simulations with \texttt{AREPO}. We test models embedded in steep ($c = 12$), shallow ($c = 2$), and intermediate ($c = 6$) DM concentrations. Our models match the observed structural properties of the stellar disk in the low surface brightness (LSB) ultrathin galaxy F…

Humor in Pixels: Benchmarking Large Multimodal Models Understanding of Online Comics
Yuriel Ryan, Rui Yang Tan, Kenny Tsu Wei Choo, Roy Ka-Wei Lee
https://arxiv.org/abs/2509.12248

Humor in Pixels: Benchmarking Large Multimodal Models Understanding of Online Comics
Understanding humor is a core aspect of social intelligence, yet it remains a significant challenge for Large Multimodal Models (LMMs). We introduce PixelHumor, a benchmark dataset of 2,800 annotated multi-panel comics designed to evaluate LMMs' ability to interpret multimodal humor and recognize narrative sequences. Experiments with state-of-the-art LMMs reveal substantial gaps: for instance, top models achieve only 61% accuracy in panel sequencing, far below human performance. This underscore…

Replaced article(s) found for math-ph. https://arxiv.org/list/math-ph/new
[1/2]:
- $m$-step rational extensions of the trigonometric Darboux-P\"{o}schl-Teller potential based on pa...
Yves Grandati, Christiane Quesne

Contrastive Learning with Enhanced Abstract Representations using Grouped Loss of Abstract Semantic Supervision
Omri Suissa, Muhiim Ali, Shengmai Chen, Yinuo Cai, Shekhar Pradhan
https://arxiv.org/abs/2509.12771

Contrastive Learning with Enhanced Abstract Representations using Grouped Loss of Abstract Semantic Supervision
Humans can recognize an image as an instance of a general concept, beyond simply identifying its objects and their relationships. In this paper, we investigate 1. The extent to which VLMs have this concept abstraction capacity, and 2. Strategies for encoding the sort of higher-concept information in images that would enable the resulting VLM model (CLEAR GLASS model) to have this capability to a greater degree. To this end, we introduce a grouped image-caption dataset (MAGIC), which consists of…

An averaging result for union-closed families of sets
Christopher Bouchard
https://arxiv.org/abs/2509.12537 https://arxiv.org/pdf/2509.12537

An averaging result for union-closed families of sets
Let $\mathcal{A}$ be a union-closed family of sets with base set $b(\mathcal{A})=\bigcup_{A \in \mathcal{A}}A$ denoted by $[n]=\{1, \cdots, n\}$, and for any real $x>0$, let $\mathcal{A}_{

T-dualities and scale-separated AdS$_3$ in type I
Zheng Miao, Muthusamy Rajaguru, George Tringas, Timm Wrase
https://arxiv.org/abs/2509.12801 https://arxiv…

T-dualities and scale-separated AdS$_3$ in type I
We perform three T-dualities on previously found, classical $\mathcal{N}=1$ scale-separated AdS$_3$ solutions of massive type IIA supergravity. These solutions arose from a compactification on a toroidal $G_2$-holonomy space with smeared O2/D2 and O6/D6 sources. The T-dual backgrounds are classical $\mathcal{N}=1$ AdS$_3$ solutions of type IIB supergravity with O5/D5 and O9/D9 sources (type I) compactified on a space with $G_2$-structure and non-vanishing Ricci scalar. We generalize the origina…

Wind Accretion in Massive Binaries Experiencing High Mass Loss Rates: I. Dependency on Mass Ratio and Orbital Period
Bhawna Mukhija, Amit Kashi
https://arxiv.org/abs/2509.12725 …

Wind Accretion in Massive Binaries Experiencing High Mass Loss Rates: I. Dependency on Mass Ratio and Orbital Period
We run numerical simulations to study high-power wind accretion in a massive binary system during a high mass loss event. The system consists of an evolved primary star with a zero age main sequence mass of $ M_{1} = \rm 100~M_{\odot}$ and a hot secondary star with a mass ranging from $ M_{2} = \rm 30-80~M_{\odot}$, orbiting in a circular orbits with periods between 455 and 1155 days. We initiate a weak eruption event with mass loss at a rate of $10^{-3}~\rm {M_{\odot}}\rm~yr^{-1}$ for 1.5 year…

Smallness of neutrino masses and leptogenesis in 331 composite Higgs model
Roman Nevzorov
https://arxiv.org/abs/2509.13245 https://arxiv.org/pdf/2509.13245…

Smallness of neutrino masses and leptogenesis in 331 composite Higgs model
We consider 331 composite Higgs model (CHM3) in which the Lagrangian of the strongly coupled sector is invariant with respect to global SU(3)_C \times SU(3)\times U(1)_6 symmetry that can originate from SU(6) subgroup of E_6 and contains the gauge group of the standard model (SM) as a subgroup. The breakdown of the approximate SU(3)\times U(1)_6 symmetry down to SU(2)_W\times U(1)_Y subgroup around the scale f\sim 10 TeV results in a set of pseudo--Nambu--Goldstone bosons (pNGBs) that, in parti…

Superradiance and Superabsorption Engine of $N$ Two-Level Systems: $N^{2}$-Power Scaling at Near-Unity Efficiency
L. F. Alves da Silva, H. Sanchez, M. A. Ponte, M. H. Y. Moussa, Norton G. de Almeida
https://arxiv.org/abs/2510.12017

Superradiance and Superabsorption Engine of $N$ Two-Level Systems: $N^{2}$-Power Scaling at Near-Unity Efficiency
We present a thermal engine that exploits the \emph{cooperative superradiance} and \emph{superabsorption} of a sample of \(N\) two-level atoms. This engine operates using a single cold reservoir via cycles of collective pumping followed by decay. Using an effective mean-field Hamiltonian to describe the many-body dynamics, we design optimized drive pulses that preserve adiabaticity and achieve an average power output scaling quadratically with the system size, \(P \propto N^2\). An experimental…

Empowering LLMs with Parameterized Skills for Adversarial Long-Horizon Planning
Sijia Cui, Shuai Xu, Aiyao He, Yanna Wang, Bo Xu
https://arxiv.org/abs/2509.13127 https://…

Empowering LLMs with Parameterized Skills for Adversarial Long-Horizon Planning
Recent advancements in Large Language Models(LLMs) have led to the development of LLM-based AI agents. A key challenge is the creation of agents that can effectively ground themselves in complex, adversarial long-horizon environments. Existing methods mainly focus on (1) using LLMs as policies to interact with the environment through generating low-level feasible actions, and (2) utilizing LLMs to generate high-level tasks or language guides to stimulate action generation. However, the former s…

Statistics of Erd\H{o}s-R\'enyi random numerical semigroups
Noah Kravitz, Santiago Morales, Carl Schildkraut
https://arxiv.org/abs/2509.12862 https://a…

Statistics of Erdős-Rényi random numerical semigroups
For $p>0$ a small parameter, let $\mathcal A \subseteq \mathbb{Z}_{>0}$ be a random subset where each positive integer is included independently with probability $p$. We show that, with high probability (as $p \to 0$), the numerical semigroup $\langle\mathcal A\rangle:=\{a_1+\cdots+a_k: k \geq 0, a_1, \ldots, a_k \in \mathcal A\}$ generated by $\mathcal A$ has Frobenius number and genus of size $\asymp p^{-1}(\log p^{-1})^2$ and embedding dimension of size $\asymp (\log p^{-1})^2$. This resolve…

On the Number of Small Points for Rational Maps
Jit Wu Yap
https://arxiv.org/abs/2510.12039 https://arxiv.org/pdf/2510.12039…

On the Number of Small Points for Rational Maps
Let $K$ be a number field and $f: \mathbb{P}^1 \to \mathbb{P}^1$ a rational map of degree $d \geq 2$ with at most $s$ places of bad reduction, where we include all archimedean places. We prove that there exists constants $c_1,c_2 > 0$, depending only on $d$ and not on $f$ or $K$, such that $$ \# \left\{ x \in \mathbb{P}^1(K) \mid \widehat{h}_f(x) \leq \frac{c_1}{s} h_{\operatorname{rat}_d}(\langle f \rangle) \right\} \leq c_2 s \log(s). $$ Here, $\operatorname{rat}_d$ is the moduli space of rat…

Evolution of the infrared luminosity function and its corresponding dust-obscured star formation rate density out to z~6
M. P. Koprowski, J. V. Wijesekera, J. S. Dunlop, K. Lisiecki, D. J. McLeod, R. J. McLure, M. J. Micha{\l}owski, M. Solar
https://arxiv.org/abs/2509.12922

Evolution of the infrared luminosity function and its corresponding dust-obscured star formation rate density out to z~6
We present a new determination of the evolving far-infrared galaxy luminosity function (FIR LF) and the resulting inferred evolution of dust-obscured star-formation rate density (SFRD) out to redshift z~6. To establish the evolving co-moving number density of FIR-bright objects, we make use of the high-resolution ALMA follow-up study (AS2UDS), of the JCMT SCUBA-2 Cosmology Legacy Survey (S2CLS) sub-mm imaging in the UKIDSS UDS survey field. In order to estimate the contributions of faint/low-ma…

TESS Light Curve Analysis: A Case Study of Stellar Rotation in TIC 445493624
Pratik Paudel, Daya Nidhi Chhatkuli, Bikash Sharma, Ashish Khanal, Nabaraj Khatri, Divash Rai
https://arxiv.org/abs/2509.12609

TESS Light Curve Analysis: A Case Study of Stellar Rotation in TIC 445493624
Stellar rotation is a fundamental parameter governing a star's magnetic activity and evolution. The Transiting Exoplanet Survey Satellite (TESS) provides high-precision photometric data ideal for measuring rotation periods via brightness modulations from starspots. This paper presents a detailed analysis of the star TIC 445493624 using 2-minute cadence data from TESS Sector 58. We process the light curve using a custom pipeline to perform outlier removal, binning, and Savitzky-Golay detrending …

Perturbative QCD below charm threshold: theory and tensions with $e^ e^-$ data
Diogo Boito, Marcelle Caram
https://arxiv.org/abs/2509.12956 https://arxiv.o…

Perturbative QCD below charm threshold: theory and tensions with $e^+e^-$ data
In this paper we carefully assess the theory prediction for $R(s)$ below charm threshold, $R_{uds}$, and address tensions with the existing data, notably with the 2021 BES-III results. We analyze the uncertainty of the perturbative QCD description in the light of renormalons making use of the large-$β_0$ limit and the renormalon-free gluon-condensate scheme. We provide a reliable estimate of the duality violation contributions; we show they are sizable up to $2.5$~GeV and improve the agreement…

WebWeaver: Structuring Web-Scale Evidence with Dynamic Outlines for Open-Ended Deep Research
Zijian Li, Xin Guan, Bo Zhang, Shen Huang, Houquan Zhou, Shaopeng Lai, Ming Yan, Yong Jiang, Pengjun Xie, Fei Huang, Jun Zhang, Jingren Zhou
https://arxiv.org/abs/2509.13312

WebWeaver: Structuring Web-Scale Evidence with Dynamic Outlines for Open-Ended Deep Research
This paper tackles open-ended deep research (OEDR), a complex challenge where AI agents must synthesize vast web-scale information into insightful reports. Current approaches are plagued by dual-fold limitations: static research pipelines that decouple planning from evidence acquisition and one-shot generation paradigms that easily suffer from long-context failure issues like "loss in the middle" and hallucinations. To address these challenges, we introduce WebWeaver, a novel dual-agent framewo…

Replaced article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/2]:
- Ab Initio Construction of Poincar\'e and AdS Particle
TaeHwan Oh
https://

A note on the number of non-cycle components in a pseudo 2-factor of graphs
Masaki Kashima
https://arxiv.org/abs/2510.12155 https://arxiv.org/pdf/2510.1215…

A note on the number of non-cycle components in a pseudo 2-factor of graphs
A pseudo 2-factor of a graph is a spanning subgraph such that each component is $K_1$, $K_2$, or a cycle. This notion was introduced by Bekkai and Kouider in 2009, where they showed that every graph $G$ has a pseudo 2-factor with at most $α(G)-δ(G)+1$ components that are not cycles. For a graph $G$ and a set of vertices $S$, let $δ_G(S)$ denote the minimum degree of vertices in $S$. In this note, we show that every graph $G$ has a pseudo 2-factor with at most $f(G)$ components that are not c…

Understanding oxide surface stability: Theoretical insights from silver chromate
Augusto Facundes, Thiago T. Dorini, Theodora W. von Zuben, Miguel A. San-Miguel
https://arxiv.org/abs/2509.13155

Understanding oxide surface stability: Theoretical insights from silver chromate
Silver chromate ($\mathrm{Ag_{2}CrO_{4}}$) has attracted considerable attention in recent years due to its promising photocatalytic performance, which strongly depends on the crystallographic orientation of its exposed surfaces. A detailed understanding of the structural stability of these surfaces under realistic conditions is therefore essential for advancing its applications. In this work, we combine density functional theory (DFT) with first-principles atomistic thermodynamics to systematic…

Building up JWST-SUSPENSE: inside-out quenching at cosmic noon from age, Fe-, and Mg-abundance gradients
Chloe M. Cheng, Martje Slob, Mariska Kriek, Aliza G. Beverage, Guillermo Barro, Rachel Bezanson, Anna de Graaff, Natascha M. F\"orster Schreiber, Brian Lorenz, Danilo Marchesini, Ignacio Mart\'in-Navarro, Adam Muzzin, Andrew B. Newman, Sedona H. Price, Katherine A. Suess, Arjen van der Wel, Jesse van de Sande, Pieter G. van Dokkum, Daniel R. Weisz

Building up JWST-SUSPENSE: inside-out quenching at cosmic noon from age, Fe-, and Mg-abundance gradients
Spatially resolved stellar populations of massive, quiescent galaxies at cosmic noon provide powerful insights into star-formation quenching and stellar mass assembly mechanisms. Previous photometric work has revealed that the cores of these galaxies are redder than their outskirts. However, spectroscopy is needed to break the age-metallicity degeneracy and uncover the driver of these colour gradients. Here, we derive age and elemental abundance gradients for 8 distant ($1.2 \lesssim z \lesssim…

On some conjectural supercongruences involving the sequence $t_n(x)$
Hui-Li Han, Chen Wang
https://arxiv.org/abs/2510.11338 https://arxiv.org/pdf/2510.1133…

On some conjectural supercongruences involving the sequence $t_n(x)$
In this paper, we study some supercongruences involving the sequence $$ t_n(x)=\sum_{k=0}^n\binom{n}{k}\binom{x}{k}\binom{x+k}{k}2^k $$ and solve some open problems. For any odd prime $p$ and $p$-adic integer $x$, we determine $\sum_{n=0}^{p-1}t_n(x)^2$ and $\sum_{n=0}^{p-1}(n+1)t_n(x)^2$ modulo $p^2$; for example, we establish that \begin{align*} \sum_{n=0}^{p-1}t_n(x)^2\equiv\begin{cases} \left(\dfrac{-1}{p}\right)\pmod{p^2},&\text{if }2x\equiv-1\pmod{p},\\[8pt] (-1)^{\langle x\rangle…

Multi-Model Synthetic Training for Mission-Critical Small Language Models
Nolan Platt, Pragyansmita Nayak
https://arxiv.org/abs/2509.13047 https://arxiv.or…

Multi-Model Synthetic Training for Mission-Critical Small Language Models
Large Language Models (LLMs) have demonstrated remarkable capabilities across many domains, yet their appli- cation to specialized fields remains constrained by the scarcity and complexity of domain-specific training data. We present a novel approach that achieves a 261x cost reduction for maritime intelligence by using LLMs as one-time teachers rather than using them directly for inference. Our method transforms 3.2 billion Automatic Identification System (AIS) vessel tracking records into 21,…

Higher genus twistor spaces and the celestial torus
Seraphim Jarov
https://arxiv.org/abs/2509.12486 https://arxiv.org/pdf/2509.12486

Higher genus twistor spaces and the celestial torus
This paper studies novel four-dimensional integrable field theories that are deformations of self-dual Yang-Mills. They are engineered by considering holomorphic Chern-Simons and BF type theories on covers of twistor space obtained by pulling back the vector bundle $\mathcal{O}(1)^2\to\mathbb{CP}^1$ to hyperelliptic or elliptic curves. Compactifying to 4d yields an integrable theory, which in the examples I study, are determined to leading order. The form of the higher-order corrections are boo…

Wind and nearby stellar environment of the quiescent luminous blue variable Var 2 in the Galaxy M33
A. Kostenkov, Y. Solovyeva, E. Dedov, A. Vinokurov, A. Sarkisyan
https://arxiv.org/abs/2510.11802

Wind and nearby stellar environment of the quiescent luminous blue variable Var 2 in the Galaxy M33
This paper is dedicated to the study of the luminous blue variable (LBV) Var 2 in the galaxy M33, which is currently in a "dormant" state and is observed as an Of/late-WN star. We had calculated self-consistent hydrodynamic non-LTE models of the extended atmosphere, taking into account the balance of radial forces in the wind of the star. This allowed us to obtain reliable estimates of the fundamental parameters of Var 2. The derived luminosity ($L=6.5\times10^{5}\,L_\odot$), current mass ($M_*…

Origin of Reverse Size Effect in Ferroelectric Hafnia Thin Films
Tianyuan Zhu, Shi Liu
https://arxiv.org/abs/2509.12952 https://arxiv.org/pdf/2509.12952

Origin of Reverse Size Effect in Ferroelectric Hafnia Thin Films
The persistence of ferroelectricity in ultrathin HfO$_2$ films challenges conventional theories, particularly given the paradoxical observation that the out-of-plane lattice spacing increases with decreasing thickness. We resolve this puzzle by revealing that this anomalous lattice expansion is counterintuitively coupled to suppressed out-of-plane polarization. First-principles calculations combined with analytical modeling identify two mechanisms behind this expansion: a negative longitudinal …

Sharp lower bounds and extremal graphs for the generalized $k$-independence number
Jing Huang, Jiaxin Tang
https://arxiv.org/abs/2509.12563 https://arxiv.o…

Sharp lower bounds and extremal graphs for the generalized $k$-independence number
A vertex set $S$ is a generalized $k$-independent set if the induced subgraph $G[S]$ contains no tree on $k$ vertices. The generalized $k$-independence number $α_k(G)$ is the maximum size of such a set. For a tree $T$ with $n$ vertices, Bock et al. [J. Graph Theory 103 (2023) 661-673] and Li et al. [Taiwanese J. Math. 27 (2023) 647-683] independently showed that $α_3(G)\geq \frac{2}{3}n$ and identified the extremal trees that attain this lower bound. Subsequently, Li and Zhou [Appl. Math. Com…

Categorical Continuous Symmetry
Qiang Jia, Ran Luo, Jiahua Tian, Yi-Nan Wang, Yi Zhang
https://arxiv.org/abs/2509.13170 https://arxiv.org/pdf/2509.13170

Categorical Continuous Symmetry
We define the symmetry category in 1+1d for continuous 0-form $G$-symmetry to be $\textbf{Sky}^τ(G)$, the category of skyscraper sheaves of finite dimensional vector spaces with finite support on the group manifold of $G$, where $τ\in H^4(BG,\mathbb{Z})$ is the anomaly. We propose that the corresponding 2+1d SymTFT is described by the Drinfeld center of $\textbf{Sky}^τ(G)$. We show explicitly the way that $τ$ twists the convolution tensor product of the objects of $\textbf{Sky}^τ(G)$. As a…

Phases of 2d Gauge Theories and Symmetric Mass Generation
Rishi Mouland, David Tong, Bernardo Zan
https://arxiv.org/abs/2509.12305 https://arxiv.org/pdf/25…

Phases of 2d Gauge Theories and Symmetric Mass Generation
We study the dynamics and phase structure of Abelian gauge theories in $d=1+1$ dimensions. These include $U(1)$ gauge theory coupled to a scalar and a fermion, as well as the two-flavour Schwinger model with different charges. Both theories exhibit a surprisingly rich phase diagram as masses are varied, with both $c=1$ and $c=1/2$ critical lines or points. We build up to the study of 2d chiral gauge theories, which hold particular interest because they provide a mechanism for symmetric mass gen…

On the quadratic complexity of subsets of $\mathbb{F}_p^n$ of bounded $\mathrm{VC_{2}}$-dimension
C. Terry, J. Wolf
https://arxiv.org/abs/2510.12767 https://

On the quadratic complexity of subsets of $\mathbb{F}_p^n$ of bounded $\mathrm{VC_{2}}$-dimension
In prior work, we showed that subsets of $\mathbb{F}_{p}^{n}$ of $\mathrm{VC_{2}}$-dimension at most $k$ are well approximated by a union of atoms of a quadratic factor of complexity $(\ell,q)$, where the complexity $\ell$ of the linear part and the complexity $q$ of the quadratic part are both bounded in terms of $k$, $p$, and the desired level of approximation $μ$. A key tool in the proof of this result was an arithmetic regularity lemma for the Gowers $U^3$-norm by Green and Tao, which resu…

Crosslisted article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
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- Demystifying Hybrid Thinking: Can LLMs Truly Switch Between Think and No-Think?
Shouren Wang, Wang Yang, Xianxuan Long, Qifan Wang, Vipin Chaudhary, Xiaotian Han

Evolution With(out) Time: Relational Holography & BPS Complexity Growth in $\mathcal{N}=2$ Double-Scaled SYK
Sergio E. Aguilar-Gutierrez
https://arxiv.org/abs/2510.11777 htt…

Evolution With(out) Time: Relational Holography & BPS Complexity Growth in $\mathcal{N}=2$ Double-Scaled SYK
How do we describe non-trivial bulk measurements relative to an observer (i.e. relationally) when both the observer and the system it probes may/may not evolve in time? How can we interpret this holographically; particularly for zero-energy BPS states in supersymmetric theories? We address these questions, in the $\mathcal{N}=2$ double-scaled SYK model and its putative bulk dual by: (i) formulating a holographic procedure in the language of quantum reference frames to gravitationally dress bulk…

4D de Sitter from 6D gauged supergravity with Green-Schwarz counterterm
Xu Guo, Yi Pang, Ergin Sezgin
https://arxiv.org/abs/2510.11794 https://arxiv.org/pd…

4D de Sitter from 6D gauged supergravity with Green-Schwarz counterterm
Taking into account the Green-Schwarz anomaly counterterm in R-symmetry gauged $N=(1,0)$ supergravity in six dimensions, and the associated modification in the Maxwell kinetic term and potential, we observe that the theory admits half-supersymmetric Minkowski$_4\times S^2$ and non-supersymmetric dS$_4 \times S^2$ as exact solutions with a monopole on $S^2$. The monopole charge and the anomaly coefficients play key roles in the vacuum structure and it turns out that a diagonal gauging in which a…