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Öğe Supersymmetry and non-Abelian T-duality in type II supergravity(Iop Publishing Ltd, 2015) Kelekci, Ozgur; Lozano, Yolanda; Macpherson, Niall T.; Colgain, Eoin O.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 AdS(3) geometry with large N = (4, 4) superconformal symmetry.
