Quasiclassical limit of KP hierarchy, \(W\)-symmetries, and free fermions

DOI10.1007/BF02365211zbMath0947.37038arXivhep-th/9207081MaRDI QIDQ1303366

Takashi Takebe, Kanehisa Takasaki

Publication date: 29 September 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9207081

zbMATH Keywords

Baker-Akhiezer functionKP hierarchyW-symmetryLax formalismfree fermion formalism

Mathematics Subject Classification ID

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

The semi-classical limit of Davey-Stewartson hierarchy ⋮ Integrability properties of the dispersionless Kadomtsev-Petviashvili hierarchy ⋮ Genus expansion of matrix models and \(\hbar\) expansion of KP hierarchy ⋮ Commutative families in \(W_\infty\), integrable many-body systems and hypergeometric \(\tau\)-functions ⋮ CFT and topological recursion ⋮ Additional symmetries of the dispersionless extended noncommutative Gelfand–Dickey hierarchy ⋮ Topological gravity with non-compact matter ⋮ Additional symmetries of the dispersionless cKP hierarchy ⋮ Quasi-classical limit of Toda hierarchy and \(W\)-infinity symmetries ⋮ On a new generalization of dispersionless Kadomtsev–Petviashvili hierarchy and its reductions ⋮ Integrable hierarchies associated to infinite families of Frobenius manifolds

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