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arXiv · 0711.4818

Gauge Symmetry, T-Duality and Doubled Geometry

C. M. Hull·R. A. Reid-Edwards
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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.

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C. M. Hull, R. A. Reid-Edwards. 2007-11-29. Gauge Symmetry, T-Duality and Doubled Geometry. https://doi.org/10.1088/1126-6708%2F2008%2F08%2F043

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