2D Yang–Mills Theory and Tau Functions
DOI10.1007/978-3-030-53305-2_15zbMath1481.37077OpenAlexW3095757119MaRDI QIDQ5152775
Publication date: 27 September 2021
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-53305-2_15
hypergeometric functionsrandom matricesWilson loopsrandom partitionsSchur polynomialsBKP hierarchytau functions
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) Yang-Mills and other gauge theories in quantum field theory (81T13) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Groups and algebras in quantum theory and relations with integrable systems (81R12) Random matrices (algebraic aspects) (15B52) 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) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)
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