T-duality, Fiber Bundles and Matrices
arXiv:hep-th/0703021 · doi:10.1088/1126-6708/2007/05/014
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.
24 pages, typos corrected
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- Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
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- Exact results for perturbative partition functions of theories with SU(2|4) symmetry
- On the shape of a D-brane bound state and its topology change
- Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
- A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory
- Emergent bubbling geometries in gauge theories with SU(2|4) symmetry
- Four-dimensional N=1 super Yang-Mills from matrix model
- Thermodynamics of theories with sixteen supercharges in non-trivial vacua
- Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
- Two-Dimensional Gauge Theory and Matrix Model
- Index theorem in spontaneously symmetry-broken gauge theories on a fuzzy 2-sphere
- Ginsparg-Wilson relation on a fuzzy 2-sphere for adjoint matter
- Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra