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

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.

17 pages, Appendix and three references have added

References in corpus (2)

• Superstrings in AdS(2)xS(2)xT(6)
• Poisson-Lie T-dual sigma models on supermanifolds

Cited by in corpus (14)

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• Super Poisson-Lie symmetry of the GL(1|1) WZNW model and worldsheet boundary conditions
• Super Non-Abelian T-Duality
• WZW models as mutual super Poisson-Lie T-dual sigma models
• The gl(1|1) Lie superbialgebras
• Generalized Dualities and Supergroups
• Yang-Baxter deformation of WZW model based on Lie supergroups: The cases of $GL(1|1)$ and $(C^3+A)$
• A hierarchy of WZW models related to super Poisson-Lie T-duality
• Cosmological string backgrounds from super Poisson-Lie T-plurality
• Solution of the equations of motion for a super non-Abelian sigma model in curved background by the super Poisson-Lie T-duality
• T-dualization of Gödel string cosmologies via Poisson-Lie T-duality approach
• T-duality/plurality of BTZ black hole metric coupled to two fermionic fields
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations
• Yang-Baxter deformations of the OSP(1|2) WZW model