Gauge Symmetry, T-Duality and Doubled Geometry
Abstract
String compactifications with T-duality twists are revisited and the gauge algebra of the dimensionally reduced theories calculated. These reductions can be viewed as string theory on T-fold backgrounds, and can be formulated in a `doubled space' in which each circle is supplemented by a T-dual circle to construct a geometry which is a doubled torus bundle over a circle. We discuss a conjectured extension to include T-duality on the base circle, and propose the introduction of a dual base coordinate, to give a doubled space which is locally the group manifold of the gauge group. Special cases include those in which the doubled group is a Drinfel'd double. This gives a framework to discuss backgrounds that are not even locally geometric.
Cite
@article{arxiv.0711.4818,
title = {Gauge Symmetry, T-Duality and Doubled Geometry},
author = {C. M. Hull and R. A. Reid-Edwards},
journal= {arXiv preprint arXiv:0711.4818},
year = {2009}
}
Comments
16 pages