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arXiv · 1409.7406

Supersymmetry and non-Abelian T-duality in type II supergravity

Özgür Kelekci·Yolanda Lozano·Niall T. Macpherson·Eoin Ó Colgáin
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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.

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Özgür Kelekci, Yolanda Lozano, Niall T. Macpherson, Eoin Ó Colgáin. 2014-09-25. Supersymmetry and non-Abelian T-duality in type II supergravity. https://doi.org/10.1088/0264-9381/32/3/035014

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