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Supersymmetric Bi-Hamiltonian Systems
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Cited 9 time in Scopus
- Authors
- Issue Date
- 2021-02
- Publisher
- Springer Verlag
- Citation
- Communications in Mathematical Physics, Vol.382 No.1, pp.317-350
- Abstract
- We construct super Hamiltonian integrable systems within the theory of supersymmetric Poisson vertex algebras (SUSY PVAs). We provide a powerful tool for the understanding of SUSY PVAs called the super master formula. We attach some Lie superalgebraic data to a generalized SUSY W-algebra and show that it is equipped with two compatible SUSY PVA brackets. We reformulate these brackets in terms of odd differential operators and obtain super bi-Hamiltonian hierarchies after performing a supersymmetric analog of the Drinfeld-Sokolov reduction on these operators. As an example, an integrable system is constructed from g=osp(2 vertical bar 2).
- ISSN
- 0010-3616
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