Gauge Theory Dynamics and Calabi-Yau Moduli
| dc.comment.hidden | Required revisions made. | en |
| dc.contributor.author | Doroud, Nima | |
| dc.date.accessioned | 2014-07-02T14:40:57Z | |
| dc.date.available | 2014-07-02T14:40:57Z | |
| dc.date.issued | 2014-07-02 | |
| dc.date.submitted | 2014 | |
| dc.description.abstract | We compute the exact partition function of two dimensional N=(2,2) supersymmetric gauge theories on S². For theories with SU(2|1)_A invariance, the partition function admits two equivalent representations corresponding to localization on the Coulomb branch or the Higgs branch, which includes vortex and anti-vortex excitations at the poles. For SU(2|1)_B invariant gauge theories, the partition function is localized to the Higgs branch which is generically a Kähler quotient manifold. The resulting partition functions are invariant under the renormalization group flow. For gauge theories that flow in the infrared to Calabi-Yau nonlinear sigma models, the partition functions for the SU(2|1)_A (resp SU(2|1)_B) invariant theories compute the Kähler potential on the Kähler moduli (resp. complex structure moduli) of the Calabi-Yau manifold. We also compute the elliptic genus of such theories in the presence of Stückelberg fields and show that they are modular completions of mock Jacobi forms. | en |
| dc.identifier.uri | http://hdl.handle.net/10012/8557 | |
| dc.language.iso | en | en |
| dc.pending | false | |
| dc.publisher | University of Waterloo | en |
| dc.subject | Moduli | en |
| dc.subject | Calabi-Yau | en |
| dc.subject | String theory | en |
| dc.subject | Sigma model | en |
| dc.subject | Supersymmetry | en |
| dc.subject | Kähler | en |
| dc.subject | Localization | en |
| dc.subject.program | Physics | en |
| dc.title | Gauge Theory Dynamics and Calabi-Yau Moduli | en |
| dc.type | Doctoral Thesis | en |
| uws-etd.degree | Doctor of Philosophy | en |
| uws-etd.degree.department | Physics and Astronomy | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.scholarLevel | Graduate | en |
| uws.typeOfResource | Text | en |