On non-abelian T-dual geometries with Ramond fluxes

TL;DR

This paper develops a method for implementing non-abelian T-duality in backgrounds with Ramond fluxes, leading to new dual geometries with reduced symmetries and supersymmetry, and explores their implications in string and M-theory contexts.

Contribution

It introduces a systematic approach for non-abelian T-duality with Ramond fields and analyzes the resulting geometries, including their supersymmetry and M-theory lifts.

Findings

Dual geometries inherit original AdS factors but with reduced isometry.

The dual backgrounds preserve half of the original supersymmetry.

The $AdS_5\times S^5$ dual has an M-theory lift related to N=2 superconformal theories.

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 $AdS_5\times S^5$ 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.