Non-abelian T-folds

Abstract

We discuss the conditions under which non-abelian T-duality can be considered as a chain of abelian T-dualities. Motivated by these results, we propose that the topology of a non-abelian T-dual should be phrased in the language of T-folds, and give the explicit O(d, d) transformations which can be used to glue the dual space.

17 pages. Minor revisions

References in corpus (11)

• On non-abelian T-dual geometries with Ramond fluxes
• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities
• On the Topology and Flux of T-Dual Manifolds
• T-duality for principal torus bundles
• Three-dimensional N=4 Linear Quivers and non-Abelian T-duals
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
• A Type IIB Matrix Model via non-Abelian T-dualities
• Hidden isometry of "T-duality without isometry"