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

TL;DR

This paper extends Poisson-Lie T-duality to supermanifolds and constructs string cosmological models on Lie supergroups, analyzing their singularities and solutions.

Contribution

It introduces a generalized formulation of Poisson-Lie T-dual sigma models on supermanifolds and applies it to specific string cosmological models.

Findings

Models exhibit essential singularities in their metrics.

Solutions to equations of motion are obtained explicitly.

Dual models share similar singularity structures.

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.