Tootfinder

Loop functions of sunset graphs in 2 1 space-time dimensions
N. Kaiser
https://arxiv.org/abs/2510.08704 https://arxiv.org/pdf/2510.08704

Loop functions of sunset graphs in 2+1 space-time dimensions
In these notes the relativistic $n$-body phase-phase is calculated iteratively in $2+1$ space-time dimensions for all $n$. The obtained result shows a simple power-law behavior $α_n (μ-M)^{n-2}/μ$ with a dependence only on the total mass $M=m_1+\dots + m_n$. As a consequence of this feature, the $(n-1)$-loop integrals $J_n(-q^2)$ associated to sunset graphs with $n$ internal lines can be expressed through of elementary (arctangent and logarithmic) functions, modulo polynomial terms in $q^2$ …

Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity
Parinya Karndumri
https://arxiv.org/abs/2510.08258 https://arxiv.org/pdf/2510.…

Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity
We study various types of holographic solutions from five-dimensional $N=4$ gauged supergravity coupled to three vector multiplets with $SO(2)\times ISO(3)$ gauge group. This gauged supergravity can be obtained from the maximal gauged supergravity in seven dimensions on a Riemann surface. For a negatively curved Rimann surface $H^2$, the resulting five-dimensional gauged supergravity admits a supersymmetric $N=4$ $AdS_5$ critical point. This $AdS_5$ vacuum is dual to an $N=2$ superconformal fie…

Note on Iitaka Conjecture $C_{n,m}$
Houari Benammar Ammar
https://arxiv.org/abs/2510.06412 https://arxiv.org/pdf/2510.06412

Note on Iitaka Conjecture $C_{n,m}$
Let \( f: X \to Y \) be an algebraic fiber space, where \( X \) and \( Y \) are smooth projective varieties of dimensions \( n \) and \( m \), respectively. In \cite{Caopaun}, Cao and Păun proved \( C_{n,m} \) when \( Y \) has maximal Albanese dimension. In this short note, we prove \( C_{n,m} \) in the cases where the Albanese dimension $α(Y)$ of \( Y \) satisfies \( α(Y) = m-1 \) or \( α(Y) = m-2 \).

Fourier interpolation in dimensions 3 and 4 and real-variable Kloosterman sums
Danylo Radchenko, Qihang Sun
https://arxiv.org/abs/2510.04873 https://arxiv.…

Fourier interpolation in dimensions 3 and 4 and real-variable Kloosterman sums
We give a construction of radial Fourier interpolation formulas in dimensions 3 and 4 using Maass--Poincaré type series. As a corollary we obtain explicit formulas for the basis functions of these interpolation formulas in terms of what we call real-variable Kloosterman sums, which were previously introduced by Stoller. We also improve the bounds on the corresponding basis functions $a_{n,d}(x)$, $d=3,4$, for fixed $x$, in terms of the index $n$.

On the existence of self-similar solutions to the steady Navier-Stokes equations in high dimensions
Jeaheang Bang, Changfeng Gui, Hao Liu, Yun Wang, Chunjing Xie
https://arxiv.org/abs/2510.10488

On the existence of self-similar solutions to the steady Navier-Stokes equations in high dimensions
We prove that the steady incompressible Navier-Stokes equations with any given $(-3)$-homogeneous, locally Lipschitz external force on $\mathbb{R}^n\setminus\{0\}$, $4\leq n\leq 16$, have at least one $(-1)$-homogeneous solution which is scale-invariant and regular away from the origin. The global uniqueness of the self-similar solution is obtained as long as the external force is small. The key observation is to exploit a nice relation between the radial component of the velocity and the total…

DIPLODOCUS II: Implementation of transport equations and test cases relevant to micro-scale physics of jetted astrophysical sources
Christopher N. Everett, Marc Klinger-Plaisier, Garret Cotter
https://arxiv.org/abs/2510.12505

DIPLODOCUS II: Implementation of transport equations and test cases relevant to micro-scale physics of jetted astrophysical sources
DIPLODOCUS (Distribution-In-PLateaux methODOlogy for the CompUtation of transport equationS) is a novel framework being developed for the general transport of particle distribution functions through the seven dimensions of phase space, including forcing terms and interactions between particles. Following Paper I, which details the background analytic framework, this second paper provides an overview of the numerical implementation in the form of the code package Diplodocus.jl, written in Julia,…

On a new region for the Lane-Emden conjecture in higher dimensions
Kui Li, Mingxiang Li, Juncheng Wei
https://arxiv.org/abs/2510.06613 https://arxiv.org/pd…

On a new region for the Lane-Emden conjecture in higher dimensions
We study the Lane-Emden conjecture, which asserts the non-existence of non-trivial, non-negative solutions to the Lane-Emden system \[ -Δu = v^p, \quad -Δv = u^q, \quad x \in \mathbb{R}^n\] in the subcritical regime. By employing an Obata-type integral inequality, Picone's identity, and exploiting the scaling invariance of the system, we prove that the conjecture holds for any dimension $n \geq 5$ and exponents satisfying $p\geq 1,q\geq 1$, and \[ \frac{1}{p+1} + \frac{1}{q+1} \geq …

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…

The Bruhat-Tits stratification for basic unramified $GU(1,n-1)$ Rapoport-Zink spaces at arbitrary parahoric level
Joseph Muller
https://arxiv.org/abs/2510.00580 https://

The Bruhat-Tits stratification for basic unramified $GU(1,n-1)$ Rapoport-Zink spaces at arbitrary parahoric level
In this paper, we describe a stratification on the reduced special fiber of the basic unramified unitary Rapoport-Zink space of signature $(1,n-1)$ and at arbitrary parahoric level. We prove the smoothness, irreducibility and compute the dimensions of the closed strata, which are isomorphic to the closure of certain fine Deligne-Lusztig varieties for a product of unitary and general linear groups. We also describe the incidence relations of the stratification by using Bruhat-Tits indices, which…

On the role of cosmological constant in modeling hadrons
Mathew Thomas Arun, Nabeel Thahir
https://arxiv.org/abs/2510.06380 https://arxiv.org/pdf/2510.0638…

On the role of cosmological constant in modeling hadrons
Einsteins gravity with a cosmological constant $Λ$ in four dimensions can be reformulated as a $λϕ^4$ theory characterized solely by the dimensionless coupling $λ\propto G_N Λ$ ($G_N$ being Newton's constant). The quantum triviality of this theory drives $λ\to 0$, and a deviation from this behavior could be generated by matter couplings. Here, we study the significance of this conformal symmetry and its breaking in modeling non-perturbative QCD. The hadron spectra and correlation function…

Universal Beta Splatting
Rong Liu, Zhongpai Gao, Benjamin Planche, Meida Chen, Van Nguyen Nguyen, Meng Zheng, Anwesa Choudhuri, Terrence Chen, Yue Wang, Andrew Feng, Ziyan Wu
https://arxiv.org/abs/2510.03312

Universal Beta Splatting
We introduce Universal Beta Splatting (UBS), a unified framework that generalizes 3D Gaussian Splatting to N-dimensional anisotropic Beta kernels for explicit radiance field rendering. Unlike fixed Gaussian primitives, Beta kernels enable controllable dependency modeling across spatial, angular, and temporal dimensions within a single representation. Our unified approach captures complex light transport effects, handles anisotropic view-dependent appearance, and models scene dynamics without re…

Replaced article(s) found for cond-mat.soft. https://arxiv.org/list/cond-mat.soft/new
[1/1]:
- Active-Passive Brownian Particle in Two Dimensions
Tayeb Jamali

Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
Minsung Kho, Norton Lee, Rak-Kyeong Seong
https://arxiv.org/abs/2510.12290 https://

Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
Brane tilings are bipartite periodic graphs on the 2-torus and realize a large family of 4d N=1 supersymmetric gauge theories corresponding to toric Calabi-Yau 3-folds. We present a complete classification of dimer integrable systems corresponding to the 30 brane tilings whose toric Calabi-Yau 3-folds are given by the 16 reflexive polygons in 2 dimensions. For each dimer integrable system associated to a reflexive polygon, we present the Casimirs, the single Hamiltonian built from 1-loops, the …

Improved universality bounds for directed polymers in the intermediate disorder regime
Pranay Agarwal
https://arxiv.org/abs/2509.21453 https://arxiv.org/pd…

Improved universality bounds for directed polymers in the intermediate disorder regime
We prove universality of Tracy-Widom GUE fluctuations for directed polymers in $1+1$ dimensions in the intermediate disorder regime. Building on the Lindeberg replacement method of arXiv:2304.04871, we refine estimates for the measure of steep paths using probabilistic arguments. Our result extends the admissible range of the inverse temperature scaling parameter $β= n^{-α}$ to all $α\in (2/(3K+11), 1/4)$, provided the weights match $K$ moments with the log-Gamma distribution. For a general …

Universality of the chiral soliton lattice in the low energy limit of QCD
Fabrizio Canfora, Nicol\'as Grandi, Marcela Lagos, Luis Urrutia-Reyes, Aldo Vera
https://arxiv.org/abs/2510.11946

Universality of the chiral soliton lattice in the low energy limit of QCD
In this paper, we show that the chiral soliton lattice (ChSL) is, in a precise sense, a universal feature of the low-energy limit of QCD minimally coupled to Maxwell theory. Here, we disclose that not only can the ChSL be obtained from the gauged Skyrme model in $3+1$ dimensions, including the back-reaction of the Maxwell $U(1)$ gauge field, we also show that the ChSL remains unchanged if the sub-leading corrections to the Skyrme model in the 't Hooft large $N_c$ expansion are included. Taking …

Ladder operators of the de Sitter algebra
Manizheh Botshekananfard, Elif B\"u\c{s}ra G\"uraks{\i}n, Gizem \c{S}eng\"or
https://arxiv.org/abs/2510.05735 https://…

Ladder operators of the de Sitter algebra
We identify raising and lowering operators of the de Sitter algebra with focus on their action on states in particular in 4 spacetime dimensions. There isn't a unique solution to the question of how the de Sitter ladder operators act on states. By fixing the action of certain generators one can conclude on the action of the rest. Our main aim is to be able to identify highest and lowest weight states such that we can recognize them for quantized fields on a rigid de Sitter background.