Planar UST Branches and c=-2 Degenerate Boundary CorrelationsWe provide a conformal field theory (CFT) description of the probabilistic model of boundary effects in the wired uniform spanning tree (UST) and its algebraic content, concerning the entire first…Alex Karrila, Augustin Lafay, Eveliina Peltola et al.·Oct 13, 2024SaveLearn
Fused Specht Polynomials and c=1 Degenerate Conformal BlocksWe introduce a class of polynomials that we call fused Specht polynomials and use them to characterize irreducible representations of the fused Hecke algebra with parameter q=-1 in the space of…Augustin Lafay, Eveliina Peltola, Julien Roussillon·Oct 13, 2024SaveLearn
On the prolongation of a local hydrodynamic-type Hamiltonian operator to a nonlocal oneNonlocal Hamiltonian operators of Ferapontov type are well-known objects that naturally arise local from Hamiltonian operators of Dubrovin-Novikov type with the help of three constructions, Dirac…Stanislav Opanasenko, Roman O. Popovych·Oct 12, 2024SaveLearn
On the perturbed periodic Schr\"odinger operators with separate resonant embedded eigenvaluesIn this paper, we consider Schr\"odinger operators on L2(0,∞) given by align Hu=(H0+V)u=-u+V0u+Vu, align where V0 is real, 1-periodic and V is…Kang Lyu, Chuanfu Yang·Oct 12, 2024SaveLearn
An optimal lower bound for the low density Fermi gas in three dimensionsWe consider the dilute Fermi gas in three dimensions interacting through a positive, radially symmetric, compactly supported and integrable potential in the thermodynamic limit. We establish a second…Emanuela L. Giacomelli·Oct 11, 2024SaveLearn
Quantum cellular automata and categorical dualities of spin chainsDualities play a central role in the study of quantum spin chains, providing insight into the structure of quantum phase diagrams and phase transitions. In this work we study categorical dualities,…Corey Jones, Kylan Schatz, Dominic J. Williamson·Oct 11, 2024SaveLearn
Recycling solutions of boundary value problems: the Wiener--Hopf perspective on embedding formulaEmbedding formula allows to recycle solution of a family boundary value problems by expressing all the solutions in terms of a small number of solutions. Such formulas have been previously derived in…A. I. Korolkov, A. V. Kisil·Oct 11, 2024SaveLearn
Poisson quasi-Nijenhuis manifolds, closed Toda lattices, and generalized recursion relationsWe present two involutivity theorems in the context of Poisson quasi-Nijenhuis %(PqN) manifolds. The second one stems from recursion relations that generalize the so called Lenard-Magri relations on…Eber Chuño Vizarreta, Gregorio Falqui, Igor Mencattini et al.·Oct 11, 2024SaveLearn
Existence of orthogonal domain walls in B\'enard-Rayleigh convectionIn B\'enard-Rayleigh convection we consider the pattern defect in orthogonal domain walls connecting a set of convective rolls with another set of rolls orthogonal to the first set. This is…Gérard Iooss·Oct 11, 2024SaveLearn
Large deviations in mean-field quantum spin systemsContinuous fields (or bundles) of C*-algebras form an important ingredient for describing emergent phenomena, such as phase transitions and spontaneous symmetry breaking. In this work, we consider…Matthias Keller, Christiaan J. F. van de Ven·Oct 11, 2024SaveLearn
Local superconformal algebrasGiven a supermanifold equipped with an odd distribution of maximal dimension and constant symbol, we construct the formal moduli problem of deformations of the distribution. This moduli problem is…Fabian Hahner, Surya Raghavendran, Ingmar Saberi et al.·Oct 10, 2024SaveLearn
Invariant measures for some dissipative systems from the Jacobi last multiplierHamiltonian dynamics describing conservative systems naturally preserves the standard notion of phase-space volume, a result known as the Liouville's theorem which is central to the formulation of…Aritra Ghosh·Oct 10, 2024SaveLearn
Loschmidt Echo for Deformed Wigner MatricesWe consider two Hamiltonians that are close to each other, H1 ≈ H2 , and analyze the time-decay of the corresponding Loschmidt echo $M(t) := | 0,…László Erdős, Joscha Henheik, Oleksii Kolupaiev·Oct 10, 2024SaveLearn
Dynamical and invariance algebras of the d-dimensional Dunkl-Coulomb problemIt is shown that the rich algebraic structure of the standard d-dimensional Coulomb problem can be extended to its Dunkl counterpart. Replacing standard derivatives by Dunkl ones in the so(d+1,2)…Christiane Quesne·Oct 10, 2024SaveLearn
Stability of Mesoscopic Fluctuations of Orthogonal Polynomial Ensembles Under Sparse Decaying PerturbationsWe study the stability of the mesoscopic fluctuations of certain orthogonal polynomial ensembles on the real line utilizing the recurrence relation of the associated orthogonal polynomials. We prove…Daniel Ofner·Oct 10, 2024SaveLearn
A two-boson lattice Hamiltonian with interactions up to next-neighboring sitesA system of two identical spinless bosons on the two-dimensional lattice is considered under the assumption that on-site and first and second nearest-neighboring site interactions between the bosons…S. N. Lakaev, A. K. Motovilov, M. O. Akhmadova·Oct 9, 2024SaveLearn
Dirac Operators on Configuration Spaces: Fermions with Half-integer Spin, Real Structure, and Yang-Mills Quantum Field TheoryIn this paper we continue the development of a spectral triple-like construction on a configuration space of gauge connections. We have previously shown that key elements of bosonic and fermionic…Johannes Aastrup, Jesper M. Grimstrup·Oct 9, 2024SaveLearn
On the extension of singular linear infinite-dimensional Hamiltonian flowsWe study Hamiltonian flows in a real separable Hilbert space endowed with a symplectic structure. Measures on the Hilbert space that are invariant with respect to the flows of completely integrable…Vladimir Glazatov, Vsevolod Sakbaev·Oct 9, 2024SaveLearn
Graded Poisson and Graded Dirac structuresThere have been several attempts in recent years to extend the notions of symplectic and Poisson structures in order to create a suitable geometrical framework for classical field theories, trying to…Manuel de León, Rubén Izquierdo-López·Oct 8, 2024SaveLearn
m-step rational extensions of the trigonometric Darboux-P\"oschl-Teller potential based on para-Jacobi polynomialsA previous construction of regular rational extensions of the trigonometric Darboux-P\"oschl-Teller potential, obtained by one-step Darboux transformations using seed functions associated with the…Yves Grandati, Christiane Quesne·Oct 7, 2024SaveLearn
Post-groupoids and quiver-theoretical solutions of the Yang-Baxter equationThe notion of post-groups was introduced by Bai, Guo and the first two authors recently, which are the global objects corresponding to post-Lie algebras, equivalent to skew-left braces, and can be…Yunhe Sheng, Rong Tang, Chenchang Zhu·Oct 7, 2024SaveLearn
Tensor category describing anyons in the quantum Hall effect and quantization of conductanceIn this study, we examine the quantization of Hall conductance in an infinite plane geometry. We consider a microscopic charge-conserving system with a pure, gapped infinite-volume ground state.…Sven Bachmann, Matthew Corbelli, Martin Fraas et al.·Oct 7, 2024SaveLearn
Hamiltonian thermodynamics on symplectic manifoldsWe describe a symplectic approach towards thermodynamics in which thermodynamic transformations are described by (symplectic) Hamiltonian dynamics. Upon identifying the spaces of equilibrium states…Aritra Ghosh, E. Harikumar·Oct 6, 2024SaveLearn
Mixed single, double, and triple poles solutions for the space-time shifted nonlocal DNLS equation with nonzero boundary conditions via Riemann--Hilbert approachIn this paper, we investigate the space-time shifted nonlocal derivative nonlinear Schr\"odinger (DNLS) equation under nonzero boundary conditions using the Riemann--Hilbert (RH) approach for the…Xin-Yu Liu, Rui Guo·Oct 6, 2024SaveLearn
Crystallization of the Aztec diamondWe consider dimer models on growing Aztec diamonds, which are certain domains in the square lattice, with edge weights of the form (\,·\,)β, where (\,·\,) is a doubly periodic…Tomas Berggren, Alexei Borodin·Oct 5, 2024SaveLearn