Poisson-Lie T-dual sigma models on supermanifolds
High Energy Physics - Theory
2009-10-02 v3
Abstract
We investigate Poisson-Lie symmetry for T-dual sigma models on supermanifolds in general and on Lie supergroups in particular. We show that the integrability condition on this super Poisson-Lie symmetry is equivalent to the super Jacobi identities of the Lie super-bialgebras. As examples we consider models related to four dimensional Lie super-bialgebras and . Then generally it is shown that for Abelian case (g, I) the super Poisson-Lie T-duality transforms the role of fermionic (bosonic) fields in the model to bosonic (fermionic) fields on the dual model and vice versa.
Cite
@article{arxiv.0901.1592,
title = {Poisson-Lie T-dual sigma models on supermanifolds},
author = {A. Eghbali and A. Rezaei-Aghdam},
journal= {arXiv preprint arXiv:0901.1592},
year = {2009}
}
Comments
13 pages, Revised and accepted for publication in JHEP