Q-polynomial expansion for Brézin-Gross-Witten tau-function

DOI10.1016/j.aim.2022.108456OpenAlexW3148865459MaRDI QIDQ2671926

Yanyan Li

Publication date: 3 June 2022

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

Full work available at URL: https://arxiv.org/abs/2104.01357

zbMATH Keywords

Virasoro constraintsBKP hierarchyBrézin-Gross-Witten tau-functionSchur Q-polynomial

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Enumerative problems (combinatorial problems) in algebraic geometry (14N10)

Related Items (6)

BKP hierarchy, affine coordinates, and a formula for connected bosonic \(n\)-point functions ⋮ Virasoro action on the \(Q\)-functions ⋮ On a new proof of the Okuyama–Sakai conjecture ⋮ Darboux transformations of the modified BKP hierarchy by fermionic approach ⋮ Action of Virasoro operators on Hall-Littlewood polynomials ⋮ Generalized Brézin-Gross-Witten tau-function as a hypergeometric solution of the BKP hierarchy

Cites Work

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• Pfaffian formulas and Schur \(Q\)-function identities
• Hypergeometric functions related to Schur \(Q\)-polynomials and the BKP equation
• Cut-and-join description of generalized Brezin-Gross-Witten model
• UNITARY MATRIX INTEGRALS IN THE FRAMEWORK OF THE GENERALIZED KONTSEVICH MODEL
• Polynomial tau-functions of BKP and DKP hierarchies

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