On non-abelian T-dual geometries with Ramond fluxes

Details On non-abelian T-dual geometries with Ramond fluxes On non-abelian T-dual geometries with Ramond fluxes

2010-12-06

arxiv.org/abs/1012.1320v1

Nucl.Phys.B846:21-42,2011

Physics

High Energy Physics

High Energy Physics - Theory

33 pages

Scientific paper

10.1016/j.nuclphysb.2010.12.013

We show how to implement T-duality along non-abelian isometries in backgrounds with non-vanishing Ramond fields. When the dimension of the isometry group is odd (even) the duality swaps (preserves) the chirality of the theory. In certain cases a non-abelian duality can result in a massive type-IIA background. We provide two examples by dualising SU(2) isometry subgroups in $AdS_5\times S^5$ and $AdS_3\times S^3\times T^4$. The resultant dual geometries inherit the original AdS factors but have transverse spaces with reduced isometry and preserve only half of the original supersymmetry. The non-abelian dual of $AdS_5\times S^5$ has an M-theory lift which is related to the gravity duals of N=2 superconformal theories. We comment on a possible interpretation of this as a high spin limit.

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