Simple Lie algebras, Drinfeld--Sokolov hierarchies, and multi-point correlation functions

zbMath1482.37066arXiv1610.07534MaRDI QIDQ5154990

Di Yang, Marco Bertola, B. A. Dubrovin

Publication date: 5 October 2021

Full work available at URL: https://arxiv.org/abs/1610.07534

zbMATH Keywords

simple Lie algebratau-functionDrinfeld-Sokolov hierarchymatrix resolventtopological ODE

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) 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)

Related Items

Drinfeld-Sokolov hierarchies, tau functions, and generalized Schur polynomials, Tau-functions for the Ablowitz–Ladik hierarchy: the matrix-resolvent method, The matrix-resolvent method to tau-functions for the nonlinear Schrödinger hierarchy, Generating series for GUE correlators, Geometry and arithmetic of integrable hierarchies of KdV type. I: Integrality, From wave functions to tau-functions for the Volterra lattice hierarchy, On the large genus asymptotics of psi-class intersection numbers, The constrained KP hierarchy and the bigraded Toda hierarchy of \((M, 1)\)-type, Interplay between opers, quantum curves, WKB analysis, and Higgs bundles, Affine Kac-Moody algebras and tau-functions for the Drinfeld-Sokolov hierarchies: the matrix-resolvent method, Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints, Grothendieck’s dessins d’enfants in a web of dualities. III

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