Spontaneous symmetry breaking at any temperature in a local one-dimensional modelWe present a one-dimensional classical statistical physics model on an infinite lattice with nearest-neighbor interactions and local state space Z2, with a ``helical" symmetry group…Andrew Lucas·Oct 6, 2026SaveLearn
Conformal invariance of the six-vertex model's height functionIn this paper, we show that the height function of the six-vertex model in simply connected domains with piecewise constant boundary conditions converges to the Gaussian Free Field (GFF) with…Emile Averous, Hugo Duminil-Copin, Tiancheng He et al.·Oct 5, 2026SaveLearn
Araki Cohomology of the de Sitter Scalar Discrete SeriesBuilding on the recently established de Sitter (dS)-covariant indecomposable Krein realization of the scalar discrete-series unitary irreducible representations Πp,0, p=1,2,·s, of…Maryam Bajalan, Jean-Pierre Gazeau, Hamed Pejhan et al.·Oct 5, 2026SaveLearn
Inverse construction of exact atmospheric models and the 3.7--4.4\,mHz acoustic resonancesLarge explosive eruptions and earthquakes excite atmospheric oscillations near 3.7 and 4.4\,mHz that couple to the solid Earth. For vertically propagating linear acoustic--gravity waves in a…O. V. Kaptsov·Oct 5, 2026SaveLearn
A Cohomological Characterization of the Clifford HierarchyThe Clifford hierarchy plays a central role in fault-tolerant quantum computation, but its higher levels remain only partially understood. Recent work on quantum higher order Fourier analysis…Junaid Aftab·Oct 5, 2026SaveLearn
Electrostatic inequalities and stability of matter on asymptotically Euclidean manifoldsWe prove stability of nonrelativistic fermionic matter in the presence of fixed nuclei \(\Rj\\) on an asymptotically Euclidean Riemannian manifold \((M,g)\). Upper and lower bounds on sectional…David Stuart·Oct 5, 2026SaveLearn
Quantum Fluctuations in Bose--Einstein Condensates:Microscopic Correlations and Moment BoundsWe study higher moments of quantum fluctuations and microscopic correlation energy in the three-dimensional Gross--Pitaevskii regime. For a smooth, compactly supported, nonnegative radial interaction…Mauris Chueng, Keheng Zhu, Hexiang Wang·Oct 5, 2026SaveLearn
Entropy Contraction and Hypercontractivity for Gaussian Quantum Markov SemigroupsIn this paper, we study finite-mode Gaussian quantum Markov semigroups with a faithful invariant Gaussian state. We present an algebraic characterization of the complete modified logarithmic Sobolev…Zhengwei Liu, Jincheng Wan, Jinsong Wu·Oct 5, 2026SaveLearn
Asymptotically free solutions of the scalar flow equationsWe analyse solutions of the flow equations of the renormalisation group for the n-point Schwinger functions of scalar field theory in four-dimensional Euclidean space with nonpolynomial boundary…Christoph Kopper·Oct 5, 2026SaveLearn
On the signaling dimension of the cross-polytopeIn the general probabilistic model of information theory, the signaling dimension of a given communication protocol (or, equivalently, of its state space) is the smallest possible complexity of a…Tamás Bencze, Péter E. \ Frenkel·Oct 5, 2026SaveLearn
A bulk--edge correspondence for two-dimensional self-adjoint boundary and interface problemsThis paper analyzes the quantized asymmetric transport along the boundary of a two-dimensional topological insulator occupying a half plane, or along the interface separating two insulators. In…Guillaume Bal·Oct 4, 2026SaveLearn
Alternative Hamiltonian and Lagrangian Approaches for Constrained SystemsWhile standard Hamiltonian and Lagrangian methods are powerful for unconstrained classical systems, they are not directly suited to constrained ones, despite the existence of well-established…M. A. de Andrade, C. Neves, E. V. Corrêa Silva·Oct 3, 2026SaveLearn
Dynamical quasi-symmetry of the classical Kepler-Coulomb problem and the conservation of the Laplace-Runge-Lenz vectorThe paper studies a classical non-relativistic particle moving in RN, (N≥slant2), in the presence of the Kepler-Coulomb force F(r)=αr/r3,…Radosław Szmytkowski·Oct 3, 2026SaveLearn
Covariant Euler-Poincaré Reduction for Field Theories on Centered Semidirect ProductsLet G be a Lie group equipped with commuting left and right linear representations on a vector space V, and let G V be the associated centered semidirect product. We develop a reduction…Miguel Ángel Berbel, Leonardo Colombo, Álvaro Rodríguez Abella·Oct 3, 2026SaveLearn
Supersymmetric semi--infinite cohomology and N = 2 superconformal structuresWe study supersymmetric semi-infinite cohomology and its N = 2 superconformal structure via the BRST reduction of an N = 32 superconformal structure on the super-affine vertex algebra…Thomas Creutzig, Uhi Rinn Suh, Sangwon Yoon·Oct 3, 2026SaveLearn
A Self-Generated Local Structural Prior for Resolving Target Merging in Electrical Impedance Tomography (EIT)Electrical impedance tomography (EIT) is an ill-posed inverse imaging technique with limited and spatially nonuniform resolution. Conductivity targets located in regions with degraded spatial…Junkang Liu, Yizhuang Song·Oct 3, 2026SaveLearn
Branching Gaps, Coexistence, and Boundary Influence for the Ising Model on Spherically Symmetric TreesIn this paper, we study the ferromagnetic nearest-neighbor Ising model on rooted spherically symmetric trees with one or \(q\) children per vertex, according to a prescribed sequence of branching…Farrukh Mukhamedov, Otabek Khakimov·Oct 2, 2026SaveLearn
Quenched Growth of Normal Matrices and Harmonic MeasureThe eigenvalues of a large normal random matrix form a two-dimensional Coulomb gas. At fixed weight, the spectral droplet grows with the matrix rank, and its semiclassical density increment is…Oleg Alekseev·Oct 2, 2026SaveLearn
Time-dependent integrable quantum field theories with dynamical boundariesWe present a method for constructing time-dependent integrable chiral quantum field theories on a finite spatial interval from the scattering and reflection data of an autonomous integrable model.…Pradip Kattel·Oct 2, 2026SaveLearn
Virasoro Conformal Blocks and modular functor from Liouville CFTIn this article, we give a global construction of the Virasoro conformal blocks on Teichmüller space of Riemann surfaces of genus g with m marked points, when the central charge is c>25. We…Guillaume Baverez, Colin Guillarmou, Antti Kupiainen et al.·Oct 2, 2026SaveLearn
Conformal Bootstrap for surfaces with boundary in Liouville CFT. Part II: spectral resolution and bootstrapThis paper is the second part of the proof of the conformal bootstrap for Liouville conformal field theory on compact surfaces with boundary. It is devoted to the spectral theory of the half-annulus…Colin Guillarmou, Rémi Rhodes, Baojun Wu·Oct 2, 2026SaveLearn
On the Cauchy Problem for the Sawada-Kotera Equation: Soliton resolution conjecture, Painlevé transcendents and asymptotic stabilityWe derive long-time asymptotics in different space-time regions for the Sawada-Kotera (SK) equation with admissible data involving continuous spectrum and finite discrete spectrum. Our result proves…Zheng-Kang Huang, Shou-Fu Tian·Oct 2, 2026SaveLearn
The monatomic limit of polyatomic gases as concentration of the internal-energy measureIn Rational Extended Thermodynamics, the monatomic limit of polyatomic gases is often singular. For the internal-state density ϕ(I)=Ia, with a=(D-5)/2, we prove that the normalized equilibrium…Tommaso Ruggeri·Oct 2, 2026SaveLearn
Stratification of the space of density matrices via invariant theory and Uhlmann's connectionThe space of n× n density matrices is the full state space of an n-level quantum system. While it has been asserted in the literature on quantum information theory that decomposing this…Howy Jordan, Markus J. Pflaum, Gerd Rudolph·Oct 2, 2026SaveLearn
Noncommutative Marcus-Ree inequality and Erdős channelsUnital quantum channels are the noncommutative analogues of doubly stochastic matrices. In 1959, Marcus and Ree showed that the squared Frobenius norm of a doubly stochastic matrix is at most its…Repana Devendra, Chaman Kumar Sahu·Oct 1, 2026SaveLearn