Browsing by Author "Colgáin, Eoin Ó"

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    Supersymmetry and non-Abelian T-duality in type II supergravity
    (2015-01-01) Lozano, Yolanda; Kelekçi, Özgür; Macpherson, Niall T; Colgáin, Eoin Ó
    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  = (4, 4) superconformal symmetry.