Topological T-duality:KK-monopoles, Gerbes and Automorphisms
| dc.contributor.advisor | Rosenberg, Jonathan M. | en_US |
| dc.contributor.author | Pande, Ashwin Subodh | en_US |
| dc.contributor.department | Mathematics | en_US |
| dc.contributor.publisher | Digital Repository at the University of Maryland | en_US |
| dc.contributor.publisher | University of Maryland (College Park, Md.) | en_US |
| dc.date.accessioned | 2007-06-22T05:35:11Z | |
| dc.date.available | 2007-06-22T05:35:11Z | |
| dc.date.issued | 2007-04-26 | |
| dc.description.abstract | We show that Topological T-duality proposed by Mathai and Rosenberg may be used to define a T-dual for a semi-free S^1-space. In particular, we argue that it gives the physical T-dual for a system of n Kaluza-Klein (KK) monopoles. We show that the `dyonic coordinates' well known in the physics literature may be incorporated within this formalism of Topological T-duality. We study some formal properties of topological T-duality: We note that Topological T-duality naturally defines a T-dual of any semi-free S^1-space X. If B \simeq X/S^1, X is naturally associated to a Hitchin 2-gerbe on B^{+}. We also note that T-duals of such spaces may be naturally associated to Hitchin 3-gerbes on B^{+} \times S^1. We demonstrate that Topological T-duality gives a natural mapping between these two gerbes. We use the Equivariant Brauer Group to model a space with a B-field or a H-flux. We note that each step of the natural filtration on this group corresponds to one of the gauge fields of the H-flux. We note that given a T-dual pair of principal S^1-bundles E,E^{\#} over B, T-duality gives a natural map T:H^2(E,\KZ) \to H^2(E^{\#},\KZ). We define a classifying space for pairs over B consisting of a principal S^-1bundle p:X \to B and a class b is an element of H^2(X,\KZ). We characterize this space up to homotopy. We make a conjecture on the T-dual of an automorphism with nonzero $H-$flux. | en_US |
| dc.format.extent | 400127 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/6835 | |
| dc.language.iso | en_US | |
| dc.subject.pqcontrolled | Mathematics | en_US |
| dc.subject.pquncontrolled | Algebraic Topology | en_US |
| dc.subject.pquncontrolled | Noncommutative Geometry | en_US |
| dc.subject.pquncontrolled | T-duality | en_US |
| dc.subject.pquncontrolled | String Theory | en_US |
| dc.subject.pquncontrolled | Quantum Field Theory | en_US |
| dc.subject.pquncontrolled | C*-algebra theory | en_US |
| dc.title | Topological T-duality:KK-monopoles, Gerbes and Automorphisms | en_US |
| dc.type | Dissertation | en_US |
Files
Original bundle
1 - 1 of 1