T-duality, fiber bundles and matrices | Zendy

Takaaki Ishii | Zendy; Goro Ishiki | Zendy; Shinji Shimasaki | Zendy; Asato Tsuchiya | Zendy

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T-duality, fiber bundles and matrices

Author(s) -

Takaaki Ishii,

Goro Ishiki,

Shinji Shimasaki,

Asato Tsuchiya

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/05/014

Subject(s) - fiber bundle , duality (order theory) , bundle , space (punctuation) , mathematics , t duality , pure mathematics , gauge theory , base (topology) , theoretical physics , mathematical physics , physics , mathematical analysis , computer science , materials science , composite material , string theory , operating system

We extend the T-duality for gauge theory to that on curved space described asa nontrivial fiber bundle. We also present a new viewpoint concerning theconsistent truncation and the T-duality for gauge theory and discuss therelation between the vacua on the total space and on the base space. Asexamples, we consider S^3(/Z_k), S^5(/Z_k) and the Heisenberg nilmanifold.Comment: 24 pages, typos correcte

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