Higher symmetries and anomalies in quantum lattice systemsWe define an 't Hooft anomaly index for a group acting on a 2d quantum lattice system by finite-depth circuits. It takes values in the degree-4 cohomology of the group and is an obstruction to…Anton Kapustin, Shixiong Xu·May 7, 2025SaveLearn
Polynomial deformations of sl(2) and unified algebraic framework for solutions of a class of spin modelsWe introduce novel polynomial deformations of the Lie algebra sl(2). We construct their finite-dimensional irreducible representations and the corresponding differential operator realizations. We…Siyu Li, Ian Marquette, Yao-Zhong Zhang·May 7, 2025SaveLearn
Z23-grading of the Lie algebra G2 and related color algebrasWe present a special and attractive basis for the exceptional Lie algebra G2, which turns G2 into a Z23-graded Lie algebra. There are two basis elements for each degree of…N. I. Stoilova, J. Van der Jeugt·May 7, 2025SaveLearn
Extended states for the Random Schr\"odinger operator on Zd (d≥ 5) with decaying Bernoulli potentialIn this paper, we investigate the delocalization property of the discrete Schr\"odinger operator Hω=-+vnωnδn,n', where vn= |n|-α and…Shihe Liu, Yunfeng Shi, Zhifei Zhang·May 7, 2025SaveLearn
Incremental universality of Wigner random matricesProperties of universality have essential relevance for the theory of random matrices usually called the Wigner ensemble. The issue was analysed up to recent years with detailed and relevant results.…Giovanni M. Cicuta, Mario Pernici·May 6, 2025SaveLearn
Blobbed topological recursion and KP integrabilityWe revise the notion of the blobbed topological recursion by extending it to the setting of generalized topological recursion as well as allowing blobs which do not necessarily admit topological…Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski et al.·May 6, 2025SaveLearn
Two Layer Model via Non Quasi Periodic Normal Form TheoryThe two layer model is a 2+1/2 degrees of freedom non autonomous dynamical system whose lower order expansion exhibits capture in resonance, numerically detected in a previous paper by the authors.…Gabriella Pinzari, Benedetto Scoppola, Matteo Veglianti·May 6, 2025SaveLearn
Joyce structures and poles of Painlev\'e equationsJoyce structures are a class of geometric structures that first arose in relation to Donaldson-Thomas theory. There is a special class of examples, called class S[A1], whose underlying manifold…Tom Bridgeland, Fabrizio Del Monte·May 6, 2025SaveLearn
Solitary wave-mean flow interaction in strongly nonlineardispersive shallow water wavesThe interaction of a solitary wave and a slowly varying mean background or flow for the Serre-Green-Naghdi (SGN) equations is studied using Whitham modulation theory. The exact form of the three…Thibault Congy, Gennady El, Sergey Gavrilyuk et al.·May 6, 2025SaveLearn
Soliton resolution, asymptotic stability and Painlev\'e transcendents in the combined Wadati-Konno-Ichikawa and short-pulse equationIn this paper, we develop a Riemann-Hilbert (RH) approach to the Cauchy problem for the combined Wadati-Konno-Ichikawa and short-pulse (WKI-SP) equation. The solution of the Cauchy problem is first…Yidan Zhang, Engui Fan·May 6, 2025SaveLearn
Hidden symmetries, hidden conservation laws and exact solutions of dispersionless Nyzhnyk equationAmong Lie submodels of the (real symmetric potential) dispersionless Nyzhnyk equation, we single out a remarkable submodel as such that, despite being the only one, is associated with a family of in…Oleksandra O. Vinnichenko, Vyacheslav M. Boyko, Roman O. Popovych·May 5, 2025SaveLearn
Characterization of Gaussian Tensor EnsemblesThe starting point of this work is a theorem due to Maxwell characterizing the distribution of a Gaussian vector with at least two coordinates. We define the Gaussian orthogonal, unitary and…Rémi Bonnin·May 5, 2025SaveLearn
About diffusion equations in bounded systemsDifferential equations need boundary conditions (BC's) for their solution. It is commonly acknowledged that differential equations and BC's are representative of independent physical processes, and…F. Sattin, D. F. Escande·May 5, 2025SaveLearn
The Quantum Random Energy Model is the Limit of Quantum p -Spin GlassesWe consider the free energy of a class of spin glass models with p-spin interactions in a transverse magnetic field. As p ∞ , the infinite system-size free energy is proven to converge…Anouar Kouraich, Chokri Manai, Simone Warzel·May 5, 2025SaveLearn
Spectral parameter power series for Zakharov-Shabat direct and inverse scattering problemsWe study the direct and inverse scattering problems for the Zakharov-Shabat system. Representations for the Jost solutions are obtained in the form of the power series in terms of a transformed…Vladislav V. Kravchenko·May 4, 2025SaveLearn
Bogomol'nyi Equations and Coexistence of Vortices and Antivortices in Generalized Abelian Higgs TheoriesWe derive the Bogomol'nyi equations in generalized Abelian Higgs theories which allow the coexistence of vortices and antivortices over a compact Riemann surface or the full plane. In the compact…Aonan Xu, Yisong Yang·May 4, 2025SaveLearn
Wannier decay and the Thouless conjectureNon-trivial Chern classes pose an obstruction to the existence of exponentially decaying Wannier functions which provide natural bases for spectral subspaces. For non-trivial Bloch bundles, we obtain…Simon Becker, Zhongkai Tao, Mengxuan Yang·May 4, 2025SaveLearn
On the quantum dynamics of long-ranged Bose-Hubbard HamiltoniansWe study the quantum dynamics generated by Bose-Hubbard Hamiltonians with long-ranged (power law) terms. We prove two ballistic propagation bounds for suitable initial states: (i) A bound on all…Marius Lemm, Carla Rubiliani, Jingxuan Zhang·May 3, 2025SaveLearn
Asymptotics of zeta determinants of Laplacians on large degree abelian coversLet (M,g) be some smooth, closed, compact Riemannian manifold and (MN M)N be an increasing sequence of large degree cyclic covers of M that converges when N→ +∞, in a…Nguyen Viet Dang, Jiasheng Lin, Frédéric Naud·May 2, 2025SaveLearn
Mutual compatibility/incompatibility of quasi-Hermitian quantum observablesIn the framework of quasi-Hermitian quantum mechanics the eligible operators of observables may be non-Hermitian, Aj≠ Aj, j=1,2, …,K. In principle, the standard probabilistic…Miloslav Znojil·May 1, 2025SaveLearn
Axially symmetric collapses in the 2-D Benjamin-Ono equationWe study the nonlinear dynamics of localized perturbations within the framework of the essentially two-dimensional generalization of the Benjamin-Ono equation (2D-BO) derived asymptotically from the…Joseph O. Oloo, Victor I. Shrira·May 1, 2025SaveLearn
Cwikel-Lieb-Rozenblum type estimates for the Pauli and magnetic Schr\"odinger operator in dimension twoWe prove a Cwikel-Lieb-Rozenblum type inequality for the number of negative eigenvalues of Pauli operators in dimension two. The resulting upper bound is sharp both in the weak as well as in the…Matthias Baur, Hynek Kovarik·May 1, 2025SaveLearn
Zero curvature is a necessary and sufficient condition for a spin-orbital decompositionThere has been an extended debate regarding the existence of a spin-orbital decomposition of the angular momentum of photons and other massless particles. It was recently shown that there are both…Eric Palmerduca, Hong Qin·Apr 30, 2025SaveLearn
Optimizing the ground state energy of the three-dimensional magnetic Dirichlet Laplacian with constant magnetic fieldThis paper concerns the shape optimization problem of minimizing the ground state energy of the magnetic Dirichlet Laplacian with constant magnetic field among three-dimensional domains of fixed…Matthias Baur·Apr 30, 2025SaveLearn
Phase space of a Poisson algebra and the induced Pre-Poisson bialgebraIn this paper, we first introduce the notion of a phase space of a Poisson algebra, and show that a Poisson algebra has a phase space if and only if it is sub-adjacent to a pre-Poisson algebra.…You Wang, Yunhe Sheng·Apr 29, 2025SaveLearn