Twists of superconformal algebrasWe take first steps toward a theory of ``conformal twists'' for superconformal field theories in dimension 3 to 6, extending the well-known analysis of twists for supersymmetric theories. A conformal…Chris Elliott, Owen Gwilliam, Matteo Lotito·Mar 28, 2024SaveLearn
What is Ballistic Transport?In this article, we review some notions of ballistic transport from the mathematics and physics literature, describe their basic interrelations, and contrast them with other commonly studied notions…David Damanik, Tal Malinovitch, Giorgio Young·Mar 28, 2024SaveLearn
Sister Celine's polynomials in the quantum theory of angular momentumThe polynomials introduced by Sister Celine cover different usual orthogonal polynomials as special cases. Among them, the Jacobi and discrete Hahn polynomials are of particular interest for the…Jean-Christophe Pain·Mar 27, 2024SaveLearn
Two-sided Lieb-Thirring boundsWe prove upper and lower bounds for the number of eigenvalues of semi-bounded Schr\"odinger operators in all spatial dimensions. As a corollary, we obtain two-sided estimates for the sum of the…Sven Bachmann, Richard Froese, Severin Schraven·Mar 27, 2024SaveLearn
Topological indices in condensed matterThis contribution describes the mathematical theory of topological indices in solid state systems composed of non-interacting Fermions. In particular, this covers the spectral localizer and the…Hermann Schulz-Baldes·Mar 27, 2024SaveLearn
The generators of the K-groups of the sphereThis note presents an elementary iterative construction of the generators for the complex K-groups Ki(C(d)) of the d-dimensional spheres. These generators are explicitly given as the…Hermann Schulz-Baldes, Tom Stoiber·Mar 27, 2024SaveLearn
Transfer matrix analysis of non-hermitian Hamiltonians: asymptotic spectra and topological eigenvaluesTransfer matrix techniques are used to provide a new proof of Widom's results on the asymptotic spectral theory of finite block Toeplitz matrices. Furthermore, a rigorous treatment of the skin…Lars Koekenbier, Hermann Schulz-Baldes·Mar 27, 2024SaveLearn
Local topology for periodic Hamiltonians and fuzzy toriA variety of local index formulas is constructed for quantum Hamiltonians with periodic boundary conditions. All dimensions of physical space as well as many symmetry constraints are covered, notably…Nora Doll, Terry Loring, Hermann Schulz-Baldes·Mar 27, 2024SaveLearn
A reappraisal of Lagrangians with non-quadratic velocity dependence and branched HamiltoniansTime and again, non-conventional forms of Lagrangians with non-quadratic velocity dependence have found attention in the literature. For one thing, such Lagrangians have deep connections with several…Bijan Bagchi, Aritra Ghosh, Miloslav Znojil·Mar 27, 2024SaveLearn
Quantum concentration inequalities and equivalence of the thermodynamical ensembles: an optimal mass transport approachWe prove new concentration inequalities for quantum spin systems which apply to any local observable measured on any product state or on any state with exponentially decaying correlations. Our…Giacomo De Palma, Davide Pastorello·Mar 27, 2024SaveLearn
Logarithmic correlation functions in 2D critical percolationIt is believed that the large-scale geometric properties of two-dimensional critical percolation are described by a logarithmic conformal field theory, but it has been challenging to exhibit concrete…Federico Camia, Yu Feng·Mar 27, 2024SaveLearn
Construction of Gross-Neveu model using Polchinski flow equationThe Gross-Neveu model is a quantum field theory model of Dirac fermions in two dimensions with a quartic interaction term. Like Yang-Mills theory in four dimensions, the model is scaling critical…Paweł Duch·Mar 27, 2024SaveLearn
Fermion integrals for finite spectral triplesFermion functional integrals are calculated for the Dirac operator of a finite real spectral triple. Complex, real and chiral functional integrals are considered for each KO-dimension where they are…John W. Barrett·Mar 27, 2024SaveLearn
Analytical computation of bifurcation of orbits near collinear libration point in the restricted three-body problemA unified analytical solution is presented for constructing the phase space near collinear libration points in the Circular Restricted Three-body Problem (CRTBP), encompassing Lissajous orbits and…Mingpei Lin, Tong Luo, Hayato Chiba·Mar 27, 2024SaveLearn
The 2D Toda lattice hierarchy for multiplicative statistics of Schur measuresWe prove Fredholm determinants build out from generalizations of Schur measures, or equivalently, arbitrary multiplicative statistics of the original Schur measures are tau-functions of the 2D Toda…Pierre Lazag·Mar 26, 2024SaveLearn
WKB asymptotics of Stokes matrices, spectral curves and rhombus inequalitiesWe consider an n× n system of ODEs on P1 with a simple pole A at z=0 and a double pole u= diag(u1, …, un) at z=∞. This is the simplest situation in which…Anton Alekseev, Andrew Neitzke, Xiaomeng Xu et al.·Mar 26, 2024SaveLearn
Quantum fields on projective geometriesConsidering homogeneous four-dimensional space-time geometries within real projective geometry provides a mathematically well-defined framework to discuss their deformations and limits without the…Daniel Spitz·Mar 26, 2024SaveLearn
Topological Levinson's theorem in presence of embedded thresholds and discontinuities of the scattering matrixA family of discrete Schroedinger operators is investigated through scattering theory. The continuous spectrum of these operators exhibit changes of multiplicity, and some of these operators possess…V. Austen, D. Parra, A. Rennie et al.·Mar 26, 2024SaveLearn
Mass Concentration of Two-Spinless Fermi Systems with Attractive InteractionsWe study the two-spinless mass-critical Fermi systems with attractive interactions and trapping potentials. We prove that ground states of the system exist, if and only if the strength a of…Yujin Guo, Yan Li·Mar 26, 2024SaveLearn
Point potentials on Euclidean space, hyperbolic space and sphere in any dimensionIn dimensions d= 1, 2, 3 the Laplacian can be perturbed by a point potential. In higher dimensions the Laplacian with a point potential cannot be defined as a self-adjoint operator. However, for any…Jan Dereziński, Christian Gaß, Błażej Ruba·Mar 26, 2024SaveLearn
Equality of magnetization and edge current for interacting lattice fermions at positive temperatureWe prove that the magnetization is equal to the edge current in the thermodynamic limit for a large class of models of lattice fermions with finite-range interactions satisfying local…Jonas Lampart, Massimo Moscolari, Stefan Teufel et al.·Mar 26, 2024SaveLearn
Whittaker vectors at finite energy scale, topological recursion and Hurwitz numbersWe upgrade the results of Borot--Bouchard--Chidambaram--Creutzig to show that the Gaiotto vector in 4d N = 2 pure supersymmetric gauge theory admits an analytic continuation with…Gaëtan Borot, Nitin Kumar Chidambaram, Giacomo Umer·Mar 25, 2024SaveLearn
Properties of some dynamical systems for three collapsing inelastic particlesIn this article we continue the study of the collapse of three inelastic particles in dimension d ≥ 2, complementing the results we obtained in its companion paper. We focus on the particular…Théophile Dolmaire, Juan J. L. Velázquez·Mar 25, 2024SaveLearn
Compositional statistical mechanics, entropy and variational inferenceIn this document, we aim to gather various results related to a compositional/categorical approach to rigorous Statistical Mechanics. Rigorous Statistical Mechanics is centered on the mathematical…Grégoire Sergeant-Perthuis·Mar 24, 2024SaveLearn
Semiclassical Limit of the Bogoliubov-de Gennes EquationIn this paper, we rewrite the time-dependent Bogoliubovx2013de Gennes equation in an appropriate semiclassical form and establish its semiclassical limit to a two-particle kinetic…Jacky J. Chong, Laurent Lafleche, Chiara Saffirio·Mar 23, 2024SaveLearn