dc.contributor.advisor | Manschot, Jan | |
dc.contributor.author | KORPAS, GEORGIOS | |
dc.date.accessioned | 2019-11-14T10:45:46Z | |
dc.date.available | 2019-11-14T10:45:46Z | |
dc.date.issued | 2019 | en |
dc.date.submitted | 2019 | |
dc.identifier.citation | KORPAS, GEORGIOS, Modern aspects of topological gauge theories - Polynomial invariants and mock modular forms, Trinity College Dublin.School of Mathematics, 2019 | en |
dc.identifier.other | Y | en |
dc.identifier.uri | http://hdl.handle.net/2262/90496 | |
dc.description | APPROVED | en |
dc.description.abstract | In this dissertation we present new results in the field of topologically twisted gauge theories evaluated on compact four-manifolds without boundary. We focus on the Donaldson-Witten theory, that is the N = 2 topologically twisted super Yang-Mills theory, We revisit and study the contribution on the Coulomb branch of the path integral of the low energy effective theory which is non-vanishing only for four-manifolds with b+2 ≤ 1. We establish new ways to evaluate path integrals of this theory using mock modular forms. Furthermore we propose a new regularization and renormalization of the path integral required for conservation of the BRST symmetry of the topological theory. We conclude by generalizing these considerations to the Donaldson-Witten theory in the presence of supersymmetric surface defects. | en |
dc.language.iso | en | en |
dc.publisher | Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics | en |
dc.rights | Y | en |
dc.subject | supersymmetry | en |
dc.subject | string theory | en |
dc.subject | Donaldson invariants | en |
dc.subject | modular forms | en |
dc.subject | Yang-Mills theory | en |
dc.subject | four-manifolds | en |
dc.title | Modern aspects of topological gauge theories - Polynomial invariants and mock modular forms | en |
dc.type | Thesis | en |
dc.type.supercollection | thesis_dissertations | en |
dc.type.supercollection | refereed_publications | en |
dc.type.qualificationlevel | Doctoral | en |
dc.identifier.peoplefinderurl | https://tcdlocalportal.tcd.ie/pls/EnterApex/f?p=800:71:0::::P71_USERNAME:KORPASG | en |
dc.identifier.rssinternalid | 207918 | en |
dc.rights.ecaccessrights | openAccess | |