Super loop groups, Hamiltonian actions and super Virasoro algebras

DOI10.1007/BF02096652zbMath0709.17020OpenAlexW2064403426MaRDI QIDQ921103

J. Harnad, Boris A. Kupershmidt

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02096652

zbMATH Keywords

highest weight representationsmomentum mapsuper Poisson bracketKac- Todorov formulaSugawara formulasuper integrable systemssuper loop groupsuper symplectic structuresuper Virasoro algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Superalgebras (17A70) Geometric quantization (53D50)

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New Bilinear Bäcklund Transformation and Lax Pair for the Supersymmetric Two-Boson Equation ⋮ Symplectic geometries on \(T^*\widetilde {G}\), Hamiltonian group actions and integrable systems ⋮ Algebraic Discretization of the Camassa-Holm and Hunter-Saxton Equations ⋮ Additional symmetries for super KP hierarchies ⋮ Quasi-invariant Lagrangians on Lie groups and the method of coadjoint orbits ⋮ Super extension of Bell polynomials with applications to supersymmetric equations

Cites Work

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