Non-abelian T-duality, generalised geometry and holography

Abstract

Recent progress which relates non-abelian T-duality of $\mathcal{N}=1$ SuGra solutions to the powerful techniques of Generalised geometry is reviewed. It is shown that SU(3) structure solutions are mapped to SU(2) structures and the transformation rule of the corresponding pure spinors is presented. This constitutes an important step on the road towards the utility of the duality within holography, showing for example, how smeared sources must transform and so how to add flavour to the T-duals.

4 pages. Proceeding of International Conference on Mathematical Modeling in Physical Sciences, September 1-5, 2013, Prague, Czech Republic.` v2 reference add

References in corpus (6)

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Cited by in corpus (3)

• Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• non-Abelian T-duality, G2-structure Rotation and Holographic Duals of N=1 Chern-Simons Theories