T-duality, Fiber Bundles and Matrices
Abstract
We extend the T-duality for gauge theory to that on curved space described as a nontrivial fiber bundle. We also present a new viewpoint concerning the consistent truncation and the T-duality for gauge theory and discuss the relation between the vacua on the total space and on the base space. As examples, we consider S3(/Zk), S5(/Zk) and the Heisenberg nilmanifold.
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