G-structures and Flavouring non-Abelian T-duality

TL;DR

This paper studies how non-Abelian T-duality transforms supersymmetric backgrounds with SU(3)-structure into SU(2)-structure, providing transformation rules and constructing new flavored solutions in type IIA supergravity.

Contribution

It introduces explicit transformation rules for pure spinors under non-Abelian T-duality and constructs new flavored supergravity solutions.

Findings

SU(3)-structure backgrounds map to SU(2)-structure backgrounds

Transformation rules for pure spinors are established

New flavored solutions of type IIA supergravity are constructed

Abstract

We examine non-Abelian T-duality on backgrounds preserving N=1 supersymmetry. We show how backgrounds with SU(3)-structure are mapped to backgrounds with SU(2)-structure. We provide the transformation rules for the corresponding pure spinors. We use these techniques to construct new flavoured solutions of type IIA supergravity.