String cosmology from Poisson-Lie T-dual sigma models on supermanifolds

Details String cosmology from Poisson-Lie T-dual sigma models on supermanifolds String cosmology from Poisson-Lie T-dual sigma models on supermanifolds

2011-07-11

arxiv.org/abs/1107.2041v3

JHEP 01 (2012) 151

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Appendix and three references have added

Scientific paper

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.

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