Non-local matrix generalizations of \(W\)-algebras

DOI10.1007/BF02099442zbMath0846.17026arXivhep-th/9403197OpenAlexW3122628443MaRDI QIDQ1891636

Adel Bilal

Publication date: 22 June 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9403197

zbMATH Keywords

conformal field theorymatrix generalizationsGelfand-Dikij bracketsmatrix Miura transformationnonlinear \(W_ m\)-algebras

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (12)

Integrability of the Frobenius algebra-valued Kadomtsev-Petviashvili hierarchy ⋮ Frobenius manifolds and Frobenius algebra-valued integrable systems ⋮ Free-field realizations of the W_{𝒜 n , N} -algebra ⋮ Hamiltonian structures of the constrained \(\mathfrak{F}\)-valued KP hierarchy ⋮ Extensions and generalizations of lattice Gelfand-Dickey hierarchy ⋮ Non-abelian Toda theory: A completely integrable model for strings on a black hole background ⋮ Consistent string backgrounds and completely integrable 2D field theories ⋮ \(W\)-algebras for non-abelian Toda systems ⋮ On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators ⋮ Hamiltonian Structures and Integrability of Frobenius Algebra-Valued (n, m)^th KdV Hierarchy ⋮ Nonabelian Toda theories from parafermionic reductions of the WZW model ⋮ Conical defects in higher spin theories

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• Multi-component KdV hierarchy, \(V\)-algebra and non-Abelian Toda theory
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