T-duality for torus bundles with H-fluxes via noncommutative topology
| dc.contributor.author | Varghese, M. | |
| dc.contributor.author | Rosenberg, J. | |
| dc.date.issued | 2005 | |
| dc.description | The original publication is available at www.springerlink.com | |
| dc.description.abstract | It is known that the T-dual of a circle bundle with H-flux (given by a Neveu-Schwarz 3-form) is the T-dual circle bundle with dual H-flux. However, it is also known that torus bundles with H-flux do not necessarily have a T-dual which is a torus bundle. A big puzzle has been to explain these mysterious missing T-duals. Here we show that this problem is resolved using noncommutative topology. It turns out that every principal T2-bundle with H-flux does indeed have a T-dual, but in the missing cases (which we characterize), the T-dual is non-classical and is a bundle of noncommutative tori. The duality comes with an isomorphism of twisted K-theories, just as in the classical case. The isomorphism of twisted cohomology which one gets in the classical case is replaced by an isomorphism of twisted cyclic homology. | |
| dc.description.statementofresponsibility | Varghese Mathai and Jonathan Rosenberg | |
| dc.identifier.citation | Communications in Mathematical Physics, 2005; 253(3):705-721 | |
| dc.identifier.doi | 10.1007/s00220-004-1159-7 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.issn | 1432-0916 | |
| dc.identifier.orcid | Varghese, M. [0000-0002-1100-3595] | |
| dc.identifier.uri | http://hdl.handle.net/2440/17763 | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.relation.grant | 0103647 | |
| dc.source.uri | http://www.springerlink.com/content/t81qxjd6ruj6vwfu | |
| dc.title | T-duality for torus bundles with H-fluxes via noncommutative topology | |
| dc.type | Journal article | |
| pubs.publication-status | Published |