\(N = 2\) multicomponent supersymmetric KP hierarchy and additional symmetries. (English) Zbl 1514.37089
Summary: We study additional non-isospectral symmetries of multicomponent constrained \(N = 2\) supersymmetric Kadomtsev-Petviashvili (KP) hierarchies. These symmetries are shown to form an infinite-dimensional non-Abelian superloop superalgebra.
MSC:
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 37K06 | General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws |
| 35Q51 | Soliton equations |
| 17B80 | Applications of Lie algebras and superalgebras to integrable systems |
| 37K30 | Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures |
Keywords:
supersymmetric Kadomtsev-Petviashvili hierarchies; additional symmetries; superloop superalgebraReferences:
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