Fourier transform of irregular connections on P1 and classification of Argyres-Douglas theoriesWe give a mathematical interpretation of the dualities between type A Argyres-Douglas theories recently obtained by Beem, Martone, Sacchi, Singh and Stedman, building on work of Xie. Using the fact…Jean Douçot·Mar 16, 2026SaveLearn
Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operatorsThe most general Ruijsenaars-van Diejen-Takemura Hamiltonians are characterized as Heun operators defined as second order q-difference operators with a raising action on elementary rational…Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov·Mar 16, 2026SaveLearn
On Csanyi's and Arias' Functional for Ground States Energy of Multi-Particle Fermion Systems: AsymptoticsWe show that Csanyi's and Arias' energy functional of the reduced one-particle density matrix is bounded from below by the M\"uller functional and bounded from above by the Hartree-Fock functional.…Heinz Siedentop·Mar 16, 2026SaveLearn
On uniform large genus asymptotics of Witten's intersection numbersFollowing ideas from [14], we give a uniform large genus asymptotics for primitive psi-class intersection numbers on the moduli space of stable algebraic curves, and extend this result including…Jindong Guo, Di Yang, Don Zagier·Mar 16, 2026SaveLearn
The Zak phase in topologically insulating chains: invariants and limitationsIn this work we investigate the topological content of the Zak phase in one-dimensional translation-invariant topological insulators endowed with time-reversal, particle-hole and/or chiral…Federico Manzoni, Domenico Monaco, Gabriele Peluso·Mar 16, 2026SaveLearn
Spectral Analysis of a Quantum Waveguide with Elliptical WindowWe investigate the Dirichlet Laplacian in two spatial waveguides coupled through an elliptic window. The elliptic geometry breaks rotational symmetry and introduces anisotropy through the semi-axes…H. Najar, F. Chogle·Mar 14, 2026SaveLearn
Entropy Maximization and Weak Gibbsianity of Quasi-Free Fermionic StatesIn their 1972 study of approach to equilibrium, Lanford and Robinson showed that gauge-invariant quasi-free states of lattice fermions maximize entropy among all translation-invariant states with a…Vojkan Jakšić, Claude-Alain Pillet, Anna Szczepanek·Mar 14, 2026SaveLearn
Optimal pinning control of directed hypergraphsIdentifying the nodes that must be directly controlled to steer a network along a desired trajectory remains an open problem for digraphs, and even more so for hypergraphs. In this manuscript, we…Fabio Della Rossa, Davide Liuzza, Francesco Lo Iudice et al.·Mar 14, 2026SaveLearn
Robust symmetry breaking in gapless quantum magnetsWe prove the existence of spontaneous symmetry breaking in suitably low-energy eigenstates of certain gapless and frustrated many-body quantum systems, namely symmetric quantum perturbations to…Chao Yin, Andrew Lucas·Mar 13, 2026SaveLearn
The Lee-Huang-Yang energy for a dilute gas of hard spheres: an upper boundWe consider a quantum gas consisting of N hard spheres with radius a > 0, obeying bosonic statistics and moving in the box = [0;L]3 with periodic boundary conditions. We are…Giulia Basti, Morris Brooks, Serena Cenatiempo et al.·Mar 13, 2026SaveLearn
Determinantal formulas for Sklyanin-Whittaker integralsWe study multi-variable integrals, that we name Sklyanin-Whittaker integrals, and prove their determinantal formulas. We also discuss a q-deformation, a determinantal point process, and associated…Taro Kimura·Mar 12, 2026SaveLearn
The Euclidean φ42 theory as a limit of an inhomogeneous Bose gasWe prove that the grand canonical Gibbs state of an interacting two-dimensional quantum Bose gas confined by a trapping potential converges to the complex Euclidean field theory with local quartic…Cristina Caraci, Antti Knowles, Alessio Ranallo et al.·Mar 12, 2026SaveLearn
Systems of partial differential equations describing pseudo-spherical or spherical surfacesIn this paper, we study systems of nonlinear partial differential equations which describe surfaces of constant curvature. From the flatness condition of connection 1-forms, we present a…Mingyue Guo, Jing Kang, Zhenhua Shi·Mar 12, 2026SaveLearn
Autoparallels and the Inverse Problem of the Calculus of VariationsWe prove that autoparallel curves associated with a torsion-free but not necessarily metric-compatible affine connection can be derived from an action principle. We explicitly construct the action…Lavinia Heisenberg·Mar 12, 2026SaveLearn
Hamiltonian formulation and matrix discretization for axisymmetric magnetohydrodynamicsEquations of ideal magnetohydrodynamics (MHD) play an important role in the studies of turbulence, astrophysics, and plasma physics. These equations possess remarkable geometric structures and…Michael Roop·Mar 11, 2026SaveLearn
From path integral quantization to stochastic quantization: a pedestrian's journeyWe give two novel proofs that the path integral and stochastic quantizations of generic scalar Euclidean quantum field theories are equivalent. Our proofs rely on Taylor interpolations indexed by…Dario Benedetti, Ilya Chevyrev, Razvan Gurau·Mar 11, 2026SaveLearn
A Radon-transform-based formula for reconstructing acoustic sources from the scattered fieldsWe propose a novel indicator function for reconstructing acoustic sources from multi-frequency near-field measurements. The theoretical basis is established by a formula relating the scattered field…Xiaodong Liu, Jing Wang·Mar 11, 2026SaveLearn
A complete classification of 2d symmetry protected states with symmetric entanglersWe consider symmetry protected topological states of 2d quantum spin systems, with a finite symmetry group G. It has been conjectured that such states are classified by the cohomology group…Alex Bols, Wojciech De Roeck, Michiel De Wilde et al.·Mar 10, 2026SaveLearn
Pseudo-Riemannian Lie algebras with coisotropic ideals and integrating the Laplace-Beltrami equation on Lie groupsWe identify a class of left-invariant pseudo-Riemannian metrics on Lie groups for which the Laplace-Beltrami equation reduces to a first-order PDE and admits exact solutions. The defining condition…A. A. Magazev, I. V. Shirokov·Mar 10, 2026SaveLearn
Weak-Coupling Limit of the Lattice Nonlinear Schr\"odinger Integral EquationWe study the ground-state integral equation of the quantum lattice nonlinear Schr\"odinger model -- equivalently the isotropic Heisenberg XXX spin chain with spin s = -1 -- in the weak-coupling…Felipe Taha Sant'Ana·Mar 10, 2026SaveLearn
General off-diagonal integrability of metric and nonmetric geometric flow and Finsler-Lagrange-Hamilton modified Einstein equationsOver the last seventy years, many Finsler-type geometric and modified gravity theories have been elaborated. They have been formulated in terms of different classes of Finsler generating functions,…Sergiu I. Vacaru·Mar 10, 2026SaveLearn
On Fermi's model for the scattering of a slow neutron from a bound protonWe consider a model Hamiltonian, introduced by Fermi in 1936, describing a two-particle system made of a neutron and a harmonically bound proton, where the neutron-proton interaction has the form of…Domenico Finco, Raffaele Scandone, Alessandro Teta·Mar 10, 2026SaveLearn
Modular families of elliptic long-range spin chains from freezingWe consider the construction of quantum-integrable spin chains with q-deformed long-range interactions by `freezing' integrable quantum many-body systems with spins. The input is a (quantum)…Rob Klabbers, Jules Lamers·Mar 10, 2026SaveLearn
Low order maximally single-trace graphs as the first counterexamples to large N factorization in random tensorsWe give the first and lowest order examples of 3-regular 3-edge-colored graphs that demonstrate the non-factorization of tensor model invariants in the large N limit of Gaussian random tensors. The…Jonathan Berthold, Hannes Keppler·Mar 9, 2026SaveLearn
Observables in U(1)n Chern-Simons theoryIn this article, we will compute the expectation value of observables (which appear as Wilson loops) in U(1)n Chern-Simons theory for closed oriented 3-manifolds. We will show how the…Michail Tagaris, Frank Thuillier·Mar 9, 2026SaveLearn