Global aspects of T-duality, gauged sigma models and T-folds
Apr, 200636 pages
Published in:
- JHEP 10 (2007) 057
e-Print:
- hep-th/0604178 [hep-th]
Report number:
- IMPERIAL-TP-06-CH-01
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Abstract:
The gauged sigma-model argument that string backgrounds related by T-dual give equivalent quantum theories is revisited, taking careful account of global considerations. The topological obstructions to gauging sigma-models give rise to obstructions to T-duality, but these are milder than those for gauging: it is possible to T-dualise a large class of sigma-models that cannot be gauged. For backgrounds that are torus fibrations, it is expected that T-duality can be applied fibrewise in the general case in which there are no globally-defined Killing vector fields, so that there is no isometry symmetry that can be gauged/ the derivation of T-duality is extended to this case. The T-duality transformations are presented in terms of globally-defined quantities. The generalisation to non-geometric string backgrounds is discussed, the conditions for the T-dual background to be geometric found and the topology of T-folds analysed.Note:
- Minor corrections and additions
- sigma model: nonlinear
- gauge field theory
- T-duality
- differential geometry
- fibre bundle
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