On non-abelian T-dual geometries with Ramond fluxes

Abstract

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 $Ad{S}_5\times S^5$ and $Ad{S}_3\times S^3\times T^4$. 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 $Ad{S}_5\times S^5$ 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.

33 pages

References in corpus (4)

• Gluon scattering amplitudes at strong coupling
• The gravity duals of N=2 superconformal field theories
• T-duality in Ramond-Ramond backgrounds
• High spin limits and non-abelian T-duality

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