English

On non-abelian T-dual geometries with Ramond fluxes

High Energy Physics - Theory 2011-02-03 v1

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 AdS5×S5AdS_5\times S^5 and AdS3×S3×T4AdS_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 AdS5×S5AdS_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.

Keywords

Cite

@article{arxiv.1012.1320,
  title  = {On non-abelian T-dual geometries with Ramond fluxes},
  author = {Konstadinos Sfetsos and Daniel C. Thompson},
  journal= {arXiv preprint arXiv:1012.1320},
  year   = {2011}
}

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33 pages