\(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace

DOI10.1016/S0550-3213(99)00473-3zbMath0947.37047arXivsolv-int/9907004MaRDI QIDQ1572287

Alexander S. Sorin, Laurent Gallot, Francois Delduc

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9907004

zbMATH Keywords

Toda chaindiscrete symmetriesLax-pair representationsnon-local Hamiltoniansone-dimensional reductionsupersymmetric matrix KP hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory (81R99)

Related Items (5)

A Note on the Appearance of Self-Dual Yang-Mills Fields in Integrable Hierarchies ⋮ Real forms of the complex \(N=4\) supersymmetric Toda chain hierarchy in real \(N=2\) and \(N=4\) superspaces. ⋮ Supersymmetric KP hierarchy in \(N=1\) superspace and its \(N=2\) reductions ⋮ Periodic Supersymmetric Toda Lattice Hierarchy ⋮ Lax pair formulation of the \(N=4\) Toda chain (KdV) hierarchy in \(N=4\) superspace

Uses Software

• SuSy 2

Cites Work

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