
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 S^3(/Z_k), S^5(/Z_k) and the Heisenberg nilmanifold.
24 pages, typos corrected
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), string duality, D-branes, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Quantum field theory on curved space or space-time backgrounds, solitons monopoles and instantons, Yang-Mills and other gauge theories in quantum field theory
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), string duality, D-branes, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Quantum field theory on curved space or space-time backgrounds, solitons monopoles and instantons, Yang-Mills and other gauge theories in quantum field theory
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