Low-temperature spectrum of the quantum transfer matrix of the XXZ chain in the massless regimeThe free energy per lattice site of a quantum spin chain in the thermodynamic limit is determined by a single `dominant' Eigenvalue of an associated quantum transfer matrix in the infinite Trotter…Saskia Faulmann, Frank Göhmann, Karol K. Kozlowski·May 11, 2023SaveLearn
Spectral Analysis and Hydrodynamic Manifolds for the Linearized Shakhov ModelWe perform a complete spectral analysis of the linearized Shakhov model involving two relaxation times τ fast and τ slow. Our results are based on spectral functions derived…Florian Kogelbauer, Ilya Karlin·May 11, 2023SaveLearn
A crystallization result in two dimensions for a soft disc affine potentialWe prove finite crystallization for particles in the plane interacting through a soft disc potential, as originally shown by C. Radin Radinsoft. We give an alternative proof that relies on…Giacomo Del Nin, Lucia De Luca·May 10, 2023SaveLearn
Quantization of the higher Berry curvature and the higher Thouless pumpWe show that for families of 1d lattice systems in an invertible phase, the cohomology class of the higher Berry curvature can be refined to an integral degree-3 class on the parameter space.…Adam Artymowicz, Anton Kapustin, Nikita Sopenko·May 10, 2023SaveLearn
Entanglement entropy and hyperuniformity of Ginibre and Weyl-Heisenberg ensemblesWe show that, for a class of planar determinantal point processes (DPP) X, the entanglement entropy of X on a compact region grows exactly at the rate of the variance fluctuation in that region.…Luís Daniel Abreu·May 10, 2023SaveLearn
On the derivation of new non-classical hydrodynamic equations for Hamiltonian particle systemsWe consider a Hamiltonian system of particles, interacting through of a smooth pair potential. We look at the system on a space scale of order ε1, times of order ε2, and mean…Raffaele Esposito, Rossana Marra·May 10, 2023SaveLearn
Weyl laws for interacting particlesWe study grand-canonical interacting fermionic systems in the mean-field regime, in a trapping potential. We provide the first order term of integrated and pointwise Weyl laws, but in the case with…Ngoc Nhi Nguyen·May 10, 2023SaveLearn
On the Extremality of the Tensor Product of Quantum ChannelsCompletely positive and trace preserving (CPT) maps are important for Quantum Information Theory, because they describe a broad class of of transformations of quantum states. There are also two other…James Miller S. T. da Silva·May 9, 2023SaveLearn
Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamicsWe study the linearized Vlasov-Poisson equation in the gravitational case around steady states that are decreasing and continuous functions of the energy. We identify the absolutely continuous…Matias Moreno, Paola Rioseco, Hanne Van Den Bosch·May 9, 2023SaveLearn
Non-invertible symmetries and RG flows in the two-dimensional O(n) loop modelIn a recent paper, Gorbenko and Zan [arXiv:2005.07708] observed that O(n) symmetry alone does not protect the well-known renormalization group flow from the dilute to the dense phase of the…Jesper Lykke Jacobsen, Hubert Saleur·May 9, 2023SaveLearn
Rational extensions of the Dunkl oscillator in the plane and exceptional orthogonal polynomialsIt is shown that rational extensions of the isotropic Dunkl oscillator in the plane can be obtained by adding some terms either to the radial equation or to the angular one obtained in the polar…C. Quesne·May 9, 2023SaveLearn
Holonomic and non-holonomic geometric models associated to the Gibbs-Helmholtz equationBy replacing the internal energy with the free energy, as coordinates in a "space of observables", we slightly modify (the known three) non-holonomic geometrizations and show that the coefficients of…Cristina-Liliana Pripoae, Iulia-Elena Hirica, Gabriel-Teodor Pripoae et al.·May 9, 2023SaveLearn
Localization for random quasi-one-dimensional modelsIn this paper we review results of Anderson localization for different random families of operators which enter in the framework of random quasi-one-dimensional models. We first recall what is…Hakim Boumaza·May 9, 2023SaveLearn
Nonexpansive and noncontractive mappings on the set of quantum pure statesWigner's theorem characterizes isometries of the set of all rank one projections on a Hilbert space. In metric geometry nonexpansive maps and noncontractive maps are well studied generalizations of…Michiya Mori, Peter Šemrl·May 9, 2023SaveLearn
Ground-state degeneracy of twisted sectors of Conway Moonshine SCFTWe calculate the ground state degeneracies of all twisted sectors in the "Conway Moonshine'' holomorphic SCFT Vf. We find that almost all sectors have ground states of only a single…Alissa Furet, Theo Johnson-Freyd·May 8, 2023SaveLearn
Fractal derivatives, fractional derivatives and q-deformed calculusThis work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences and similarities. The fractal derivative is closely connected to Haussdorff's concepts…Airton Deppman, Eugenio Megias, Roman Pasechnik·May 8, 2023SaveLearn
KP hierarchy, affine Yangian and W1+∞ algebra3D (dimensional) Young diagrams are a generalization of 2D Young diagrams. We want to construct the structures on 3D Young diagrams paralleled to that on 2D Young diagrams. We have already obtained…Na Wang·May 8, 2023SaveLearn
Mean and variance of the cardinality of particles in polyanalytic Ginibre processes via a quantization methodWe discuss the mean and variance of the number point-particles\ DR\ inside a disk DR centered at the origin of the complex plane C…Zouhaïr Mouayn, Mohamed Mahboubi, Othmane El Moize·May 7, 2023SaveLearn
Direct Poisson neural networks: Learning non-symplectic mechanical systemsIn this paper, we present neural networks learning mechanical systems that are both symplectic (for instance particle mechanics) and non-symplectic (for instance rotating rigid body). Mechanical…Martin Šípka, Michal Pavelka, Oğul Esen et al.·May 7, 2023SaveLearn
Conformal super Virasoro algebra: matrix model and quantum deformed algebraIn this paper, we construct the super Virasoro algebra with an arbitrary conformal dimension from the generalized R(p,q)-deformed quantum algebra and investigate the…Fridolin Melong·May 7, 2023SaveLearn
Painlev\'e/CFT correspondence on a torusThis note details the relationship between the isomonodromic tau-function and conformal blocks, on a torus with one simple pole. It is based on the author's talk at ICMP 2021.Harini Desiraju·May 7, 2023SaveLearn
New vistas on the Laplace-Runge-Lenz vectorScalar, vector and tensor conserved quantities are essential tools in solving different problems in physics and complex, nonlinear differential equations in mathematics. In many guises they enter our…Davide Batic, Marek Nowakowski, Aya Mohammad Abdelhaq·May 7, 2023SaveLearn
Polynomial superpotential for Grassmannian Gr(k,n) from a limit of vertex functionIn this note we discuss an integral representation for the vertex function of the cotangent bundle over the Grassmannian, X=T* Gr(k,n). This integral representation can be used to compute the…Andrey Smirnov, Alexander Varchenko·May 5, 2023SaveLearn
Generalized Geometry of 2D Incompressible Fluid FlowsWe describe a family of generalized almost structures associated with a Monge-Amp\`ere equation for a stream function of 2D incompressible fluid flows. Using an indefinite metric field constructed…Radek Suchánek·May 5, 2023SaveLearn
Operads, homotopy theory and higher categories in algebraic quantum field theoryThis chapter provides a non-technical overview and motivation for the recent interactions between algebraic quantum field theory (AQFT) and rather abstract mathematical disciplines such as operads,…Marco Benini, Alexander Schenkel·May 5, 2023SaveLearn