Notes about the KP/BKP correspondence
DOI10.1134/S004057792109004XzbMath1482.81013arXiv2104.05790OpenAlexW3202868319MaRDI QIDQ2056813
Publication date: 8 December 2021
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.05790
eigenvalue problemvertex operatorSchur functionsymmetric polynomialBKP tau functioncharacter of Sergeev groupcharacter of symmetric groupKP tau functionprojective Schur functionshifted Schur function
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
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Cites Work
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- On KP-integrable Hurwitz functions
- Complete set of cut-and-join operators in the Hurwitz-Kontsevich theory
- Genus expansion of HOMFLY polynomials
- Solitons and infinite dimensional Lie algebras
- Representation theoretical meaning of the initial value problem for the Toda lattices hierarchy. I
- The KP hierarchy, branched covers, and triangulations
- Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
- Prym's theta-function and hierarchies of nonlinear equations
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Hypergeometric solutions of soliton equations
- Quantum and classical aspects of deformed \(c=1\) strings
- Toda equations for Hurwitz numbers
- From Kronecker to tableau pseudo-characters in tensor models
- Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions
- Toda lattice hierarchy and generalized string equations
- Polynomial KP and BKP \(\tau\)-functions and correlators
- Around spin Hurwitz numbers
- A square root of Hurwitz numbers
- A matrix model for hypergeometric Hurwitz numbers
- Hypergeometric \(\tau\)-functions, Hurwitz numbers and enumeration of paths
- BKP and projective Hurwitz numbers
- The theta characteristic of a branched covering
- Gromov-Witten theory, Hurwitz theory, and completed cycles
- Hypergeometric functions related to Schur \(Q\)-polynomials and the BKP equation
- Laguerre and Meixner Orthogonal Bases in the Algebra of Symmetric Functions
- Weighted Hurwitz numbers and hypergeometric $\tau$-functions: an overview
- Integrability of Hurwitz partition functions
- Convolution symmetries of integrable hierarchies, matrix models and \tau-functions
- Tau Functions and their Applications
- Nonlinear dynamics of quantum systems and soliton theory
- Combinatorial solutions to integrable hierarchies
- THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
- Symmetric polynomials, generalized Jacobi-Trudi identities and τ-functions
- Bilinear expansion of Schur functions in Schur Q-functions: A fermionic approach
- Bilinear expansions of lattices of KP τ -functions in BKP τ -functions: A fermionic approach
- Transitive factorisations into transpositions and holomorphic mappings on the sphere
- Interpolation Analogs of Schur Q-Functions
- Hall-Littlewood symmetric functions and the BKP equation
- Isotropic Grassmannians, Plücker and Cartan maps
- Polynomial tau-functions of the KP, BKP, and the s-component KP hierarchies
