T-duality, Fiber Bundles and Matrices
High Energy Physics - Theory
2010-10-27 v2
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 S^3(/Z_k), S^5(/Z_k) and the Heisenberg nilmanifold.
Cite
@article{arxiv.hep-th/0703021,
title = {T-duality, Fiber Bundles and Matrices},
author = {Takaaki Ishii and Goro Ishiki and Shinji Shimasaki and Asato Tsuchiya},
journal= {arXiv preprint arXiv:hep-th/0703021},
year = {2010}
}
Comments
24 pages, typos corrected