T-duality and Gauge Symmetry in Supermembrane Theory
Abstract
T-duality has been shown to arise from a gauge symmetry in some string theories. However, in the case of \ compactified on a circle, it is not possible to show that this is the case. This situation is rather uncomfortable since string string duality suggests that all T-dualities should arise from a gauge symmetry. Here we show that the T-duality of \ compactified on a circle arises from the reparametrization of the supermembrane. Then we show how this reparametrization can be understood in terms of a gauge symmetry of the supermembrane, thus allowing to connect T-duality in \ to a gauge symmetry of the supermembrane.
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