String cosmology from Poisson-Lie T-dual sigma models on supermanifolds
High Energy Physics - Theory
2015-05-28 v3
Abstract
We generalize the formulation of Poisson-Lie T-dual sigma models on manifolds to supermanifolds. In this respect, we formulate 1+1 dimensional string cosmological models on the Lie supergroup C^3 and its dual (A_1,1 + 2A)^0_(1,0,0), which are coupled to two fermionic fields. Then, we solve the equations of motion of the models and show that there is a essential singularity for the metric of the original model and its dual.
Keywords
Cite
@article{arxiv.1107.2041,
title = {String cosmology from Poisson-Lie T-dual sigma models on supermanifolds},
author = {A. Eghbali and A. Rezaei-Aghdam},
journal= {arXiv preprint arXiv:1107.2041},
year = {2015}
}
Comments
17 pages, Appendix and three references have added