On "Bosonic, Fermionic and Mixed" Supersymmetric 2-Dimensional Integrable Models

Details On "Bosonic, Fermionic and Mixed" Supersymmetric 2-Dimensional Integrable Models On "Bosonic, Fermionic and Mixed" Supersymmetric 2-Dimensional Integrable Models

1996-08-07

arxiv.org/abs/hep-th/9608036v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTex file, 8 pages. Talk given at Alushta (May 1996) in "Problems of Quantum Field Theory", to appear in the Proceedings

Scientific paper

It is shown that supersymmetric integrable models in two dimensions, both relativistic (i.e. super-Toda type theories) and non-relativistic (reductions of super-KP hierarchies) can be associated to general Poisson-brackets structures given by superaffinizations of any bosonic Lie or any super-Lie algebra. This result allows enlarging the set of supersymmetric integrable models, which are no longer restricted to the subclass of superaffinizations of purely fermionic super-Lie algebras (that is admitting fermionic simple roots only).

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