Random walks in finite Abelian groups with Birkhoff subpolytopes of doubly stochastic matrices and their physical implementationRandom walks in a finite Abelian group G are studied. They use Markov chains with doubly stochastic transition matrices, in a Birkhoff subpolytope B(G) associated with the group G. It is…A. Vourdas·Mar 9, 2026SaveLearn
Finite group actions on genus two SL(2, C)-character variety and applications to SCFTsWe investigate irreducible components of the fixed point sets of SL(2,C) -character variety of the genus two surface group under orientation preserving actions of the finite groups of the…Semeon Arthamonov, Anton Pribytok·Mar 8, 2026SaveLearn
Combining Symmetries and Helmholtz's Conditions to Construct LagrangiansWe present new relations derived from Noether's identity that reveal the compatibility between the components of the Hessian matrix of the Lagrangian, the infinitesimal symmetry transformation of the…Merced Montesinos, Diego Gonzalez, Jorge Meza·Mar 8, 2026SaveLearn
Integrable deformations of the Dirac--sinh-Gordon systemWe construct a two-dimensional family of integrable coupled Dirac--scalar field theories in 1+1 dimensions, parameterized by (,α)∈[0,π/2]2, whose Lax connection takes values in…Laith H. Haddad·Mar 7, 2026SaveLearn
Anderson localization and H\"older continuity of the integrated density of states for analytic quasiperiodic Schr\"odinger operatorsWe establish both Anderson localization and H\"older continuity of the integrated density of states for quasiperiodic Schr\"odinger operators on Zd with any non-constant analytic…Hongyi Cao, Yunfeng Shi, Zhifei Zhang·Mar 7, 2026SaveLearn
Wave Function Renormalization for Particle-Field InteractionsIn this paper, we develop a wave function renormalization scheme for models of non-relativistic quantum particles interacting with a quantized relativistic field, in the Hamiltonian formalism of…Marco Falconi, Benjamin Hinrichs, Javier Valentín Martín·Mar 7, 2026SaveLearn
Central extensions for loop groups of area-preserving diffeomorphisms and their fuzzy sphere limitsWe classify central extensions for the loop group LSDiff(S2) of area-preserving diffeomorphisms of the 2-sphere, and of related twisted loop groups. We then show that the corresponding Lie algebra…Bas Janssens, Zhenghan Wang·Mar 6, 2026SaveLearn
An involutivity theorem for a class of Poisson quasi-Nijenhuis manifoldsThis note aims to continue our study about the applications of Poisson quasi-Nijenhuis geometry to the theory of classical completely integrable systems. More precisely, we will present new versions…Eber Chuño Vizarreta, Gregorio Falqui, Igor Mencattini et al.·Mar 6, 2026SaveLearn
New results for Heisenberg dynamics for non self-adjoint HamiltoniansIn a previous paper we began our analysis on the role of non self-adjoint Hamiltonians in connection with the Heisenberg dynamics for quantum systems. Here, motivated by the growing interest on this…Fabio Bagarello·Mar 6, 2026SaveLearn
Gaussian free field convergence of the six-vertex model with -1≤≤-12We study the isotropic six-vertex model on Z2 with spectral parameter ∈[-1,-1/2], that is, with weights a=b=1 and c∈[3,2]. We show that…Hugo Duminil-Copin, Karol Kajetan Kozlowski, Piet Lammers et al.·Mar 6, 2026SaveLearn
Higher-Order Approximation of Coherent State Dynamics in Self-Interacting Quantum Field TheoriesWe study the propagation of coherent states in self-interacting bosonic quantum field theories in the semi-classical (mean-field) regime. Relying on Hepp's method and a detailed analysis of the…Zied Ammari, Julien Malartre, Maher Zerzeri·Mar 6, 2026SaveLearn
On solutions of the Euler equation for incoherent fluid on a rotating sphereThe motion of compressible, inviscid fluid under the constant pressure on a rotating sphere is studied. The hodograph equations for the corresponding Euler equation are presented. They provide us…B. G. Konopelchenko, G. Ortenzi·Mar 5, 2026SaveLearn
The Gibbs phenomenon for the Krawtchouk polynomialsWe study the Fourier approximation FN of the sign function by the Krawtchouk polynomials. We give numerical evidence that the Gibbs phenomenon of the approximation differs from the…John Cullinan, Elisabeth Young·Mar 5, 2026SaveLearn
Self-adjoint realizations of 2d-dimensional canonical systems and applicationsThis paper studies linear relations and their self-adjoint realizations arising from 2d-dimensional canonical systems, with a focus on how the symplectic structure interacts with boundary conditions.…Keshav Raj Acharya, Andrei Ludu·Mar 5, 2026SaveLearn
Quantum "Twin Peaks" or Path Integrals in the Future Light ConeBy analogy with the Wiener measure on the Euclidean plane that is invariant under the group of rotations and quasi-invariant under the group of diffeomorphisms, we construct the path integrals…Vladimir V. Belokurov, Vsevolod V. Chistiakov, Klavdiia A. Lursmanashvili et al.·Mar 5, 2026SaveLearn
Causal Fermion Systems, Non-Commutative Geometry and Generalized Trace DynamicsWe compare the structures and methods in the theory of causal fermion systems with generalized trace dynamics and non-commutative geometry. Although the three theories differ on many aspects, they…Shane Farnsworth, Felix Finster, Claudio F. Paganini et al.·Mar 5, 2026SaveLearn
Drinfeld Correspondence in Infinite DimensionsIn this article, we establish the Drinfeld correspondence between Poisson Lie groups and their infinitesimal counterparts, Lie bialgebras, in the infinite-dimensional setting. Specifically, we extend…Praful Rahangdale·Mar 4, 2026SaveLearn
Split Casimir Operator of the Lie Algebra so(2r) in Spinor Representations, Colour Factors and Yang-Baxter EquationIn this paper, we derive characteristic identities for the split Casimir operator of the Lie algebra so(2r) in tensor products of spinor representations of the same and opposite chiralities. Using…A. P. Isaev, A. A. Provorov·Mar 4, 2026SaveLearn
Translational dynamics of diatomic molecule in magnetic quadrupole trapWe study the translational motions of homonuclear diatomic molecules prepared in their 3 electronic states, deeply bound vibrational states, and rotational states of well-defined parity.…Yurij Yaremko, Maria Przybylska, Andrzej J. Maciejewski·Mar 4, 2026SaveLearn
A hybrid Lagrangian-Hamiltonian framework and its application to conserved integrals and symmetry groupsA hybrid framework is developed that highlights and unifies the most important aspects of the Noether correspondence between symmetries and conserved integrals in Lagrangian and Hamiltonian…Stephen C. Anco·Mar 3, 2026SaveLearn
Twisted Standard Model and its Krein structure -- in memoriam Manuele FilaciWe review the contributions of Manuele Filaci - a PhD student from the university of Genova prematurely deceased a little more than a year ago - to the description of the Standard Model in…Pierre Martinetti·Mar 3, 2026SaveLearn
Multi-dimensional consistency of principal binetsPrincipal binets are a discretization of curvature line parametrized surfaces defined on the vertices and faces of the square lattice 2. They generalize the previously established…Niklas C. Affolter, Jan Techter·Mar 2, 2026SaveLearn
Flow Subgraphs and Flow Network Design under End-to-End Power Dissipation ConstraintsWe investigate how the underlying graph of a network supports a flow between a source node and a destination node and propose to compute the expected number of nodes and links that contribute to…Zhihao Qiu, Xinhan Liu, Rogier Noldus et al.·Mar 2, 2026SaveLearn
Sector Theory of Levin-Wen Models II : Fusion and BraidingThis is the continuation of our study of the Levin-Wen model based on an arbitrary unitary fusion category C on the infinite plane. The ground state of the Levin-Wen model hosts anyonic…Alex Bols, Boris Kjær·Mar 2, 2026SaveLearn
A Leibniz rule of distributional pairing and hyperforce sum ruleWe reformulate and generalize the equilibrium hyperforce sum rule, a generalization of the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy, by employing the Schwartz space and its dual. We show…Takashi Maruyama, Tatsuki Seto, Viktor Zaverkin et al.·Mar 2, 2026SaveLearn