Supersymmetric KP hierarchy in \(N=1\) superspace and its \(N=2\) reductions

DOI10.1016/S0550-3213(99)00653-7zbMath0973.37043arXivsolv-int/9907021MaRDI QIDQ1572459

Olaf Lechtenfeld, Alexander S. Sorin

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/9907021

zbMATH Keywords

HamiltonianLax pair representationsupersymmetric modified KdV hierarchyToda chain hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (2)

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.

Cites Work

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• Linear odd Poisson bracket on Grassmann variables
• Odd bi-Hamiltonian structure of new supersymmetric \(N=2,4\) Korteweg de Vries equation and odd SUSY Virasoro-like algebra.

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