On "Bosonic, Fermionic and Mixed" Supersymmetric 2-Dimensional Integrable Models
High Energy Physics - Theory
2007-05-23 v1
Abstract
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).
Cite
@article{arxiv.hep-th/9608036,
title = {On "Bosonic, Fermionic and Mixed" Supersymmetric 2-Dimensional Integrable Models},
author = {Francesco Toppan},
journal= {arXiv preprint arXiv:hep-th/9608036},
year = {2007}
}
Comments
LaTex file, 8 pages. Talk given at Alushta (May 1996) in "Problems of Quantum Field Theory", to appear in the Proceedings