Geometric Quantization by Paths, Part III: The Metaplectic AnomalyIn the previous parts of this work, we established the Prequantum Groupoid Tω as the universal geometric container for quantum mechanics. This approach, which we call the "Geometric…Patrick Iglesias-Zemmour·Jan 30, 2026SaveLearn
Mermin-Wagner theorems for quantum systems with multipole symmetriesWe prove Mermin-Wagner-type theorems for quantum lattice systems in the presence of multipole symmetries. These theorems show that the presence of higher-order symmetries protects against the…Timo Feistl, Severin Schraven, Simone Warzel·Jan 30, 2026SaveLearn
Vanishing of power-law corrections to Kubo's formula for the Hall current at incommensurate magnetic fieldsWe consider a non-interacting electron gas confined to a two-dimensional crystal by the action of a perpendicular magnetic field; in the one-particle approximation, the dynamics of the system is…Gabriele Mazzini, Domenico Monaco·Jan 29, 2026SaveLearn
A Zero-Range Model for the Efimov Effect in the Born-Oppenheimer ApproximationIn this note we discuss the Efimov effect emerging in a three-particle quantum system with zero-range interactions. In particular, we consider two non-interacting identical bosons plus a different…G. Basti, D. Ferretti, A. Teta·Jan 28, 2026SaveLearn
The variable-length stem structures in three-soliton resonance of the Kadomtsev-Petviashvili II equationThe stem structure is a localized feature that arises during high-order soliton interactions, connecting the vertices of two V-shaped waveforms. The interaction of resonant 3-solitons is accompanied…Feng Yuan, Jingsong He, Yi Cheng·Jan 28, 2026SaveLearn
Non-Hermitian Fabry-P\'erot ResonancesWe characterise non-Hermitian Fabry-P\'erot resonances in high-contrast resonator systems and study the properties of their associated resonant modes from continuous differential models. We consider…Habib Ammari, Erik Orvehed Hiltunen, Bowen Li et al.·Jan 27, 2026SaveLearn
Pseudo-relativistic fermionic systems with attractive Yukawa potentialWe study the Hartree-Fock and Hartree-Fock-Bogoliubov theories for a large fermionic system with the pseudo-relativistic kinetic energy and an attractive Yukawa interaction potential. We prove that…Bin Chen, Yujin Guo, Phan Thành Nam et al.·Jan 27, 2026SaveLearn
Transversal Cusp-Airy versus Cusp-Airy for Lozenge TilingsThe fluctuations of lozenge tilings of hexagons with one or several cuts (nonconvexities) along opposite sides are governed by the (discrete-continuous) tacnode kernel $ L…Mark Adler, Pierre van Moerbeke·Jan 27, 2026SaveLearn
Exact calculations beyond charge neutrality in timelike Liouville field theoryTimelike Liouville field theory (also known as imaginary Liouville theory or imaginary Gaussian multiplicative chaos) is expected to describe two-dimensional quantum gravity in a positive-curvature…Sourav Chatterjee·Jan 27, 2026SaveLearn
Explicit formulae for stochastic equilibriaFinding the stochastic equilibria for finite-state stochastic matrices amounts to solving an eigen\-vector problem π = π P. Various techniques for doing so are known, some extremely…Matt Visser·Jan 26, 2026SaveLearn
Massless Representations in Conformal Space and Their de Sitter RestrictionsThe monograph offers a coherent and self-contained treatment of massless (ladder) representations of the conformal group U(2,2) and their restriction to the de Sitter group Sp(2,2), combining…Jean-Pierre Gazeau, Hamed Pejhan, Ivan Todorov·Jan 26, 2026SaveLearn
Biorthogonal ensembles of derivative typeIn this paper, we prove that biorthogonal ensembles on the real line with a specific derivative structure admit an explicit correlation kernel of double contour integral form. We will demonstrate…Tom Claeys, Jiyuan Zhang·Jan 26, 2026SaveLearn
Wave functions and k-point functions for the AKNS hierarchyFor an arbitrary solution to the AKNS hierarchy, the logarithmic derivatives of the tau-function of the solution can be computed by the matrix-resolvent method [14,21]. In this paper, we introduce a…Ang Fu·Jan 26, 2026SaveLearn
The Stability Limit of Prepotentials for Hurwitz-Frobenius Manifolds: An Infinite-Dimensional ApproachThe stability of prepotential derivatives for Frobenius manifolds associated with AN and DN singularities has been utilized to construct (2+1)-dimensional dispersionless integrable hierarchies.…Shilin Ma·Jan 26, 2026SaveLearn
Representations of the Flat Space WavefunctionFrom any graph G arises a flat space wavefunction, obtained by integrating a product of propagators associated to the vertices and edges of G. This function is a key ingredient in the computation…Tyler Dunaisky·Jan 24, 2026SaveLearn
The stability priority of spatial-temporal coupled compact element methods over decoupled compact element methodsWith the increasing industrial demands, two families of high-order numerical schemes are widely used within the computational fluid dynamics community. One is the method of line, which relies on…Qihui Gao, Xing Ji, Zhifang Du et al.·Jan 24, 2026SaveLearn
A Lorentzian SU(3)-covariant noncommutative KP hierarchy and hypercomplex gauge fieldsWe propose a formal framework for a noncommutative Kadomtsev--Petviashvili (KP) hierarchy which is covariant under the action of SU(3) and compatible with a Lorentzian structure encoded in a…Jean-Pierre Magnot·Jan 23, 2026SaveLearn
Euler-Poincar\'e Formulation of Barotropic Fluids Coupled with ADM GravityThis paper develops a geometric mechanics framework for the reduction of general relativistic hydrodynamic variational principles, from the variation of worldlines approach in 4D spacetime to…Allan Louie·Jan 23, 2026SaveLearn
Stochastic Analysis of Fifth-Order KdV Soliton in Damping Regime and Reduction to Painlev\'e Second EquationThis work presents a stochastic analysis of fifth-order KdV soliton momentum distribution in a damping regime. An explicit representation of the soliton momentum associated with amplitude variation…Irfan Mahmood, Adeena Iqbal, Sohail Mumtaz·Jan 23, 2026SaveLearn
A fresh look at the Peierls-Onsager substitutionWe formulate a general version of the Peierls-Onsager substitution for a finite family of Bloch eigenvalues under a local spectral gap hypothesis, via strongly localized tight-frames and magnetic…Horia D. Cornean, Bernard Helffer, Radu Purice·Jan 23, 2026SaveLearn
The Pauli-Villars-regularized Dirac vacuum in electromagnetic fields at positive temperatureIn this paper we consider a model of the Dirac vacuum in classical electromagnetic fields at positive temperature. We adopt the Pauli-Villars regularisation technique in order to properly define the…William Borrelli, Umberto Morellini·Jan 23, 2026SaveLearn
Generalisation of Bureau-Guillot systems with Painlev\'e transcendents in the coefficientsWe construct a generalisation of what we call Bureau-Guillot systems, i.e. systems of first order equations with coefficient functions being Painlev\'e transcendents. The same Painlev\'e equation is…Marta Dell'Atti, Galina Filipuk·Jan 22, 2026SaveLearn
On the structural properties of Lie algebras via associated labeled directed graphsWe present a method for associating labeled directed graphs to finite-dimensional Lie algebras, thereby enabling rapid identification of key structural algebraic features. To formalize this approach,…Tim Heib, David Edward Bruschi·Jan 22, 2026SaveLearn
A pseudo-bosonic Klein-Gordon field with finite two-points functionWe introduce a class of pseudo-bosonic Klein-Gordon fields in 1+1 dimensions and we discuss some of their properties. This work originates from non Hermitian quantum mechanics and deformed canonical…Fabio Bagarello·Jan 22, 2026SaveLearn
An alternative approach to the Painlev\'e paradox through constitutive characterization of constraints in impulsive MechanicsWe frame the Painlev\`e mechanical system, which has been extensively studied because of the paradox it generates, within the class of Regular Geometric Impulsive Mechanical Systems (RGIMS), by…Stefano Pasquero·Jan 21, 2026SaveLearn