Supersymmetry and non-Abelian T-duality in type II supergravity
Abstract
We study the effect of T-duality on supersymmetry in the context of type II supergravity. For both U(1) Abelian and SU(2) non-Abelian T-duality, we demonstrate that the supersymmetry variations after T-duality are related to the variations before T-duality through the Kosmann spinorial Lie derivative, which vanishes when the Killing spinors are independent of the T-duality directions. As a byproduct of our analysis, we present closed expressions for SU(2) T-duality in a class of spacetimes with diagonal Bianchi IX symmetry and comment on specific examples of T-dual geometries, including a novel AdS3 geometry with large N = (0,4) superconformal symmetry.
Keywords
Cite
@article{arxiv.1409.7406,
title = {Supersymmetry and non-Abelian T-duality in type II supergravity},
author = {Özgür Kelekci and Yolanda Lozano and Niall T. Macpherson and Eoin Ó Colgáin},
journal= {arXiv preprint arXiv:1409.7406},
year = {2016}
}
Comments
34 pages, v2, wording improved, references updated, v3 references added, matches published version; v4 signs in section 6 changed to make consistent with earlier sections, erroneous statement about supersymmetry of AdS3 S3 S3 S1 non-Abelian T-dual corrected, reference added