Lattice models from CFT on surfaces with holes II: Cloaking boundary conditions and loop modelsIn this paper we continue to investigate the lattice models obtained from 2d CFTs via the construction introduced in [arXiv:2112.01563]. On the side of the 2d CFT we consider the cloaking boundary…Enrico M. Brehm, Ingo Runkel·Oct 25, 2024SaveLearn
Coherent States of Graphene Layer with and without a PT-symmetric Chemical PotentialIn this paper we construct different classes of coherent and bicoherent states for the graphene tight-binding model in presence of a magnetic field, and for a deformed version where we include a…Fabio Bagarello, Francesco Gargano, Lidia Saluto·Oct 25, 2024SaveLearn
Mittag-Leffler Probability Density for Nonextensive Statistics and SuperstatisticsIt is shown that a Mittag-Leffler density has interesting properties. The Mittag-Leffler random variable has a structural representation in terms of a positive Levy variable and the power of a gamma…A. M. Mathai, H. J. Haubold·Oct 24, 2024SaveLearn
Interrelations between dualities in classical integrable systems and classical-classical version of quantum-classical dualityWe describe the Ruijsenaars' action-angle duality in classical many-body integrable systems through the spectral duality transformation relating the classical spin chains and Gaudin models. For this…R. Potapov, A. Zotov·Oct 24, 2024SaveLearn
Large deviations for the log-Gamma polymerWe conjecture an explicit expression for the lower tail large deviation rate function of the partition function of the log-Gamma polymer. We rigorously prove our result, except for one step for which…Tom Claeys, Julian Mauersberger·Oct 24, 2024SaveLearn
On Classification and Geometric Characterizations of Ensembled 2×2 Pseudo Hermitian and PT-Symmetric MatricesNon-Hermitian matrices H∈ M2(C) satisfying the relation HG = GH , for invertible and singular Hermitian matrices G have been studied. The matrices H corresponding to…Stalin Abraham, Ameeya A. Bhagwat·Oct 24, 2024SaveLearn
Continuum limit of resonances for discrete Schr\"odinger operatorsWe consider complex resonances for discrete and continuous Schr\"odinger operators, and we show that the resonances of discrete models converge to resonances of continuous models in the continuum…Kentaro Kameoka, Shu Nakamura·Oct 24, 2024SaveLearn
Cosmological Landsberg Finsler spacetimesWe locally classify all possible cosmological homogeneous and isotropic Landsberg-type Finsler structures, in 4-dimensions. Among them, we identify viable non-stationary Finsler spacetimes, i.e.…Annamária Friedl-Szász, Elena Popovici-Popescu, Nicoleta Voicu et al.·Oct 23, 2024SaveLearn
Spectral regularity and defects for the Kohmoto modelWe study the Kohmoto model including Sturmian Hamiltonians and the associated Kohmoto butterfly. We prove spectral estimates for the operators using Farey numbers. In addition, we determine the…Siegfried Beckus, Jean Bellissard, Yannik Thomas·Oct 23, 2024SaveLearn
On the properties of coframesWe consider injectivity and surjectivity of some maps on the exterior algebra of isomorphic finite-dimensional vector spaces. We prove the properties of the maps in full generality, for any dimension…Giovanni Canepa·Oct 23, 2024SaveLearn
Truncated Floquet-Bloch transform for computing the spectral properties of large finite systems of resonatorsThe truncated Floquet-Bloch transform can be used to characterise the spectral properties of finite periodic and aperiodic large systems of resonators. This paper aims to provide for the first time…Habib Ammari, Silvio Barandun, Alexander Uhlmann·Oct 23, 2024SaveLearn
Arctic curves of periodic dimer models and generalized discriminantsWe compute the algebraic equation for arctic curves of the Aztec diamond with a doubly (quasi-)periodic weight structure and obtain similar results for certain models of the hexagon. In particular,…Mateusz Piorkowski·Oct 22, 2024SaveLearn
Spectral analysis of infinite Marchenko-Slavin matricesThis work tackles the problem of spectral characterization of a class of infinite matrices arising from the modelling of small oscillations in a system of interacting particles. The class of matrices…Sergio Palafox, Luis O. Silva·Oct 22, 2024SaveLearn
Gap Probability Distribution of Gaussian Unitary Ensembles and Painlev\'e V EquationWe consider the Hankel determinant generated by the moments of the even weight function e-x2(A+Bθ(x2-a2)), x∈(-∞,+∞), a>0, A0, A+B0. It is intimately related to…Shengjie Zhang, Shulin Lyu·Oct 22, 2024SaveLearn
Quantum dispersionless KdV hierarchy revisitedWe quantize Hamiltonian structures with hydrodynamic leading terms using the Heisenberg vertex algebra. As an application, we construct the quantum dispersionless KdV hierarchy via a non-associative…Zhe Wang·Oct 22, 2024SaveLearn
The second order Huang-Yang formula to the 3D Fermi gas: the Gross-Pitaevskii regimeFor a system of N Fermions of spin 1/2, with its interaction potential of scattering length a, the classical Huang-Yang formula states that the energy density e() is of the form…Xuwen Chen, Jiahao Wu, Zhifei Zhang·Oct 22, 2024SaveLearn
Entanglement in Algebraic Quantum Field TheoriesThere has been some recent interest in applying the techniques of Algebraic Quantum Field Theory (AQFT) to entanglement problems in perturbative QFT. In particular, the Hilbert space independence of…Rafael Grossi·Oct 22, 2024SaveLearn
Undecidability in Physics: a ReviewThe study of undecidability in problems arising from physics has experienced a renewed interest, mainly in connection with quantum information problems. The goal of this review is to survey this…Álvaro Perales-Eceiza, Toby Cubitt, Mile Gu et al.·Oct 21, 2024SaveLearn
Quantizations of transposed Poisson algebras by Novikov deformationsThe notions of the Novikov deformation of a commutative associative algebra and the corresponding classical limit are introduced. We show such a classical limit belongs to a subclass of transposed…Siyuan Chen, Chengming Bai·Oct 21, 2024SaveLearn
Magnetic transport due to a translationally invariant potential obstacleWe consider a two-dimensional system in which a charged particle is exposed to a homogeneous magnetic field perpendicular to the plane and a potential that is translationally invariant in one…Pavel Exner, David Spitzkopf·Oct 21, 2024SaveLearn
The Yang-Baxter equation, Leibniz algebras, racks and related algebraic structuresThe purpose of this paper is to clarify the relations between various constructions of solutions of the Yang-Baxter equation from Leibniz algebras, racks, 3-Leibniz algebras, 3-racks, linear racks,…Nanyan Xu, Yunhe Sheng·Oct 21, 2024SaveLearn
A quantum anchor for higher Koszul bracketsIt is well known that the chain map between the de Rham and Poisson complexes on a Poisson manifold also maps the Koszul bracket of differential forms into the Schouten bracket of multivector fields.…Ekaterina Shemyakova, Yagmur Yilmaz·Oct 21, 2024SaveLearn
Coisotropic embeddings of precosymplectic manifoldsIn this paper we provide a complete characterisation of coisotropic embeddings of precosymplectic manifolds into cosymplectic manifolds. This result extends a theorem of Gotay about coisotropic…Manuel de León, Pablo Soto Martín·Oct 20, 2024SaveLearn
Quenched large deviations of Birkhoff sums along random quantum measurementsWe prove a quenched version of the large deviation principle for Birkhoff-like sums along a sequence of random quantum measurements driven by an ergodic process. We apply the result to the study of…Renaud Raquépas, Jeffrey Schenker·Oct 20, 2024SaveLearn
Extended Cartan homotopy formula for higher Chern-Simons-Antoniadis-Savvidy theoryWe consider extended Cartan homotopy formula (ECHF) for higher gauge theory. Firstly, we construct an oriented simplex based on 2-connections and present differential and integral forms of the higher…Danhua Song·Oct 19, 2024SaveLearn