Generalized Brézin-Gross-Witten tau-function as a hypergeometric solution of the BKP hierarchy

DOI10.1016/j.aim.2022.108809OpenAlexW3148664028MaRDI QIDQ2111218

Yanyan Li

Publication date: 28 December 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.17117

zbMATH Keywords

BKP hierarchyspin Hurwitz numbersBGW tau-function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items

Q-polynomial expansion for Brézin-Gross-Witten tau-function ⋮ On a new proof of the Okuyama–Sakai conjecture ⋮ Elements of spin Hurwitz theory: closed algebraic formulas, blobbed topological recursion, and a proof of the Giacchetto-Kramer-Lewański conjecture ⋮ Kac-Schwarz operators of type \(B\), quantum spectral curves, and spin Hurwitz numbers ⋮ The ordered exponential representation of GKM using the \(W_{1 + \infty}\) operator ⋮ Action of Virasoro operators on Hall-Littlewood polynomials

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