On T-duality transformations for the three-sphere
arXiv:1408.1715 · doi:10.1016/j.nuclphysb.2015.02.008
Abstract
We study collective T-duality transformations along one, two and three directions of isometry for the three-sphere with H-flux. Our aim is to obtain new non-geometric backgrounds along lines similar to the example of the three-torus. However, the resulting backgrounds turn out to be geometric in nature. To perform the duality transformations, we develop a novel procedure for non-abelian T-duality, which follows a route different compared to the known literature, and which highlights the underlying structure from an alternative point of view.
42 pages; v2: references added; v3: published version