Hypergeometric functions related to Schur \(Q\)-polynomials and the BKP equation

DOI10.1023/A:1027370004436zbMath1178.33015arXivmath-ph/0302011OpenAlexW2125330441MaRDI QIDQ2654838

Alexander Yu. Orlov

Publication date: 21 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0302011

zbMATH Keywords

hypergeometric functionssoliton theoryprojective Schur functions

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) Basic hypergeometric functions associated with root systems (33D67) Hypergeometric functions associated with root systems (33C67)

Related Items (20)

Spin Hurwitz theory and Miwa transform for the Schur Q-functions ⋮ Fermionic approach to weighted Hurwitz numbers and topological recursion ⋮ BKP hierarchy, affine coordinates, and a formula for connected bosonic \(n\)-point functions ⋮ Q-polynomial expansion for Brézin-Gross-Witten tau-function ⋮ A new solvable two-matrix model and the BKP tau function ⋮ Elements of spin Hurwitz theory: closed algebraic formulas, blobbed topological recursion, and a proof of the Giacchetto-Kramer-Lewański conjecture ⋮ Character expansion of matrix integrals ⋮ Polynomial KP and BKP \(\tau\)-functions and correlators ⋮ Generalized Q-functions for GKM ⋮ Bilinear expansions of lattices of KP τ -functions in BKP τ -functions: A fermionic approach ⋮ Intersection numbers on \({\overline{M}}_{g,n}\) and BKP hierarchy ⋮ Connection between cut-and-join and Casimir operators ⋮ Weighted Hurwitz numbers and topological recursion ⋮ Around spin Hurwitz numbers ⋮ Extensions on two-component BKP and D type Drinfeld-Sokolov hierarchies ⋮ Rationally weighted Hurwitz numbers, Meijer G-functions and matrix integrals ⋮ Notes about the KP/BKP correspondence ⋮ Correlation functions of charged free boson and fermion systems ⋮ Matrix model generating function for quantum weighted Hurwitz numbers ⋮ Generalized Brézin-Gross-Witten tau-function as a hypergeometric solution of the BKP hierarchy

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