Exact spectrum of the XX spin chain with constrained non-diagonal boundary fieldsWe study the exact spectrum of the XX spin chain with constrained non-diagonal boundary fields, which can be analyzed by solving the associated Bethe Ansatz equations. In these equations, the number…Changqing Liu, Xiaotian Xu, Xin Zhang·Jun 1, 2026SaveLearn
Semi-classical limit of an attractive Fermi gas in one or two dimensionsWe study the ground-state of a Fermi gas with short range attrative interactions in one or two dimensions. N fermions are placed in a confining potential, and interact with each other through a…Thomas Gamet·Jun 1, 2026SaveLearn
Algebraic approach to the inverse spectral problem for rational matricesWe consider the problem of reconstruction of an n× n matrix with coefficients depending rationally on x∈ P1 from the data of: (a) its characteristic polynomial and (b) a line…Marco Bertola·Jun 1, 2026SaveLearn
A Morphology-Adaptive Random Feature Method for Inverse Source Problem of the Helmholtz EquationThe inverse source problem for the Helmholtz equation poses significant challenges, particularly when sources exhibit complex or discontinuous geometries. Traditional numerical methods suffer from…Xinwei Hu, Jingrun Chen, Haijun Yu·Jun 1, 2026SaveLearn
New model structures for Algebraic Quantum Field TheoryIn this paper we define and compare several new Quillen model structures which present the homotopy theory of algebraic quantum field theories. In this way, we expand foundational work of Benini et…Victor Carmona·Jun 1, 2026SaveLearn
A review on the kinetic theory of oscillator chainsWe review the kinetic theory of one-dimensional nonlinear oscillator chains, of which the most famous example is the Fermi-Pasta-Ulam-Tsingou equation. We provide detailed, though not rigorous,…Pierre Germain, Joonhyun La, Angeliki Menegaki·May 31, 2026SaveLearn
The Schwinger-Dyson equations for random fuzzy geometries coupled to matterIn this work we study the Schwinger-Dyson equations and saddle point equations of matrix integrals that come from type (0,1) random fuzzy geometries coupled to fermions or bosons. Such random fuzzy…Jeremy Gamble, Masoud Khalkhali, Nathan Pagliaroli·May 31, 2026SaveLearn
On Jean-Marie Souriau's geometric quantization of the relativistic electronThe aim of this paper is to revisit, in Souriau's book "Structure of Dynamical Systems", the chapter devoted to the geometric quantization where the justifications of important results…Géry de Saxcé·May 31, 2026SaveLearn
Nonabelian multiplicative integration and curvature obstructions for surface holonomySurface holonomy plays a central role in higher gauge theory, bundle gerbes and the geometric formulation of Wess--Zumino terms in string theory. In this work, we consider the relation between…Hollis Williams·May 31, 2026SaveLearn
The 2D Smorodinsky--Winternitz II system and the Laguerre--Heun algebraWe identify the quadratic symmetry algebra of the two-dimensional Smorodinsky--Winternitz II system with a Laguerre-type confluent Heun algebra. The system is separable in Cartesian and parabolic…Vutha Vichea Chea, Luc Vinet, Alexei Zhedanov·May 30, 2026SaveLearn
Weyl-type theorems in Galilei and Carroll geometryA classic theorem of Weyl (1921) states that a Weyl metric -- a natural generalisation of a pseudo-Riemannian metric -- is uniquely determined by its conformal and projective structures (i.e. by its…Philip K. Schwartz, James Read, Quentin Vigneron·May 30, 2026SaveLearn
Variational theory of Cosserat arches and affine tensorsOur purpose is to revisit the screw theory in light of the affine tensor formalism, introducing the co-momentum and momentum tensors. Our target-applications of the Euler-Poincaré equation are…Géry de Saxcé·May 29, 2026SaveLearn
Numerical analytical continuation of multivariate hypergeometric functionsWe present a general framework for the high-precision numerical evaluation of multivariate hypergeometric functions defined as solutions of holonomic systems of partial differential equations. Our…M. A. Bezuglov, B. A. Kniehl, A. I. Onishchenko et al.·May 29, 2026SaveLearn
Rotation angles of a rotating disc -- A toy model exhibiting the geometric phase --In this paper, we consider a simple kinematic model, which is a rotating disc on the edge of another fixed disc without slipping, and study the rotation angle of the rotating disc. The rotation angle…Takuya Matsumoto, Hiroki Takada, Osami Yasukura·May 29, 2026SaveLearn
Hubbard--Heisenberg Thermodynamic Comparison at Half Filling in a Fixed Staggered FieldWe study the repulsive Hubbard model at half filling in the strong-coupling regime, with a staggered magnetic field of strength \(h\). The analysis is carried out in the canonical half-filled…Tadahiro Miyao·May 28, 2026SaveLearn
A sharp three-particle fractional Hardy inequality and an angular Selberg-type identityWe establish a sharp three-particle fractional Hardy inequality for the Laplacian of order s∈(0,1) in dimension d≥ 4-2s (Theorem 1.1), involving an explicit intrinsically three-body…Rajesh Mahadevan, Franco Olivares, Andres Zuniga·May 28, 2026SaveLearn
A Boundary--Residue Incidence Coalgebra for Associahedral Scattering FormsWe introduce a boundary--residue incidence coalgebra associated with the face poset of a positive geometry and apply it to associahedral scattering forms. The construction is motivated by the analogy…Ioannis P. Zois·May 28, 2026SaveLearn
The Continuum Limit Analysis of Causal Fermion Systems for Curved SpacetimesWe construct the causal fermion system for globally hyperbolic spacetimes starting in the framework of algebraic quantum field theory. The fermionic projector is identified with the one-particle…Patrick Fischer, Felix Finster·May 28, 2026SaveLearn
The Fermionic Signature Operator in the Reissner-Nordström Geometry in Horizon-Penetrating CoordinatesWe study the Dirac equation in the Reissner-Nordström geometry in horizon-penetrating coordinates up to the Cauchy horizon. A mass decomposition theorem is proved, which gives a covariant…Felix Finster, Christoph Krpoun·May 28, 2026SaveLearn
Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point chargeWe study a determinantal Coulomb gas in the complex plane associated with the external potential Q(z)=11-τ2(|z|2-τRe z2)-2c|z-a|, where τ∈[0,1), c0, and…Sung-Soo Byun, Meng Yang, Eui Yoo·May 28, 2026SaveLearn
A Lorentzian construction of timelike Liouville field theory on the cylinderTimelike Liouville field theory is a candidate model for positive curvature two-dimensional quantum gravity, but a mathematically controlled Lorentzian formulation has remained elusive. In this paper…Sourav Chatterjee·May 28, 2026SaveLearn
Deformed and undeformed localized wave solutions for the two-component (2+1)-dimensional Fokas-Lenells equationIn this paper, we focus on the two-component (2+1)-dimensional Fokas-Lenells equation, which models the propagation of ultrashort optical pulses in nonlinear media with multi-mode interactions and…Yanan Wang, Minghe Zhang·May 28, 2026SaveLearn
The Moyal cohomology of the N=1 spinning particleThe Batalin-Fradkin-Vilkovisky formalism studies a differential graded symplectic supermanifold whose cohomology vanishes in negative degree. This hypothesis is violated by the N=1 spinning particle…Ezra Getzler·May 28, 2026SaveLearn
Tensor-Network Analysis of Root Patterns in the XXX Model with Open BoundariesThe string hypothesis of Bethe roots is a cornerstone in the thermodynamic analysis of quantum integrable systems, since it connects root configurations with physical quantities such as the…Zhouzheng Ji, Pei Sun, Xiaotian Xu et al.·May 28, 2026SaveLearn
Braided finite automata and representation theoryWe introduce classical and non-deterministic finite automata associated with representations of the braid group. After briefly reviewing basic definitions on finite automata, Coxeter's groups and…Anastasia Doikou·May 28, 2026SaveLearn