Super Non-Abelian T-Duality

TL;DR

This paper explores super non-Abelian T-duality in various superstring models, including explicit dualisation examples, revealing new backgrounds outside traditional supergravity solutions.

Contribution

It provides a comprehensive analysis of super non-Abelian T-duality for multiple superstring models, including explicit dualisation of the OSp(1|2) model.

Findings

Dualisation along fermionic directions is possible.

The dual of the OSp(1|2) model does not fit into standard supergravity backgrounds.

The study extends T-duality understanding to more general superstring backgrounds.

Abstract

We analyse super non-Abelian T-duality for principal chiral models, symmetric space sigma models, and semi-symmetric space sigma models for general Lie supergroups. This includes T-duality along both bosonic and fermionic directions. As an example, we perform the explicit dualisation of the OSp(1|2) principal chiral model, and, whilst the target superspace of this model is a three-dimensional supergravity background, we find that its super non-Abelian T-dual falls outside the class of such backgrounds.