Hurwitz numbers from matrix integrals over Gaussian measure

zbMath1470.05018arXiv2002.00466MaRDI QIDQ5004893

Sergey M. Natanzon, Alexander Yu. Orlov

Publication date: 3 August 2021

Full work available at URL: https://arxiv.org/abs/2002.00466

zbMATH Keywords

random matricesSchur polynomialsHurwitz numbersBKP hierarchyKlein surfacestau functions2D quantum gauge theoryWick's rule

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Feynman diagrams (81T18) Quantization in field theory; cohomological methods (81T70) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Relationships between algebraic curves and physics (14H81)

Related Items (5)

Hidden symmetries and large \(N\) factorisation for permutation invariant matrix observables ⋮ Polygon gluing and commuting bosonic operators ⋮ Integrals of tau functions: a round dance tau function and multimatrix integrals ⋮ Hurwitz numbers from Feynman diagrams ⋮ 2D Yang–Mills Theory and Tau Functions

This page was built for publication: Hurwitz numbers from matrix integrals over Gaussian measure