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dc.contributor.authorZhou, Yehao
dc.date.accessioned2022-09-29 18:03:50 (GMT)
dc.date.available2022-09-29 18:03:50 (GMT)
dc.date.issued2022-09-29
dc.date.submitted2022-09-22
dc.identifier.urihttp://hdl.handle.net/10012/18848
dc.description.abstractTwisted holography is a duality between a twisted supergravity, and a twisted supersymmetric gauge theory living on the D-branes in the supergravity. The main objectives of this duality is the comparison between the algebra of observables in the bulk twisted supergravity and the algebra of observables in the boundary twisted supersymmetric gauge theory. In this thesis, two example of the twisted holography duality are explored. The bulk theory for the first example is the 4d topological-holomorphic Chern-Simons theory, which is expected to be dual to 2d BF theory with line defects. The algebra of observables in the 2d BF theory is computed by two methods: perturbation theory (Feynman diagrams), and phase space quantization. By holography duality this algebra is expected to be isomorphic to the algebra of bulk-boundary scattering process, and the latter is computed in this thesis using perturbative method. The bulk theory for the second example is the 5d topological-holomorphic Chern-Simons theory, which is expected to be dual to the large-N limit of a family of 1d quantum mechanics built from the ADHM quivers. The generators and relations of the large-N limit algebra of observables in the 1d quantum mechanics are studied from algebraic point view. By holography duality, this algebra is expected to be the algebra of observables on the universal line defect coupled to the 5d Chern-Simons theory, and some nontrivial relations of the latter algebra are computed in this thesis using perturbative method. The surface defects and various fusion process between line and surface defects are also explored.en
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.subjectYangiansen
dc.subjectaffine Yangiansen
dc.subjecttwisted holographyen
dc.subject4d Chern-Simons theoryen
dc.subject5d Chern-Simons theoryen
dc.subjectalgebra of observablesen
dc.titleTwisted Holography: The Examples of 4d and 5d Chern-Simons Theoriesen
dc.typeDoctoral Thesisen
dc.pendingfalse
uws-etd.degree.departmentPhysics and Astronomyen
uws-etd.degree.disciplinePhysicsen
uws-etd.degree.grantorUniversity of Waterlooen
uws-etd.degreeDoctor of Philosophyen
uws-etd.embargo.terms0en
uws.contributor.advisorCostello, Kevin
uws.contributor.advisorGomis, Jaume
uws.contributor.affiliation1Faculty of Scienceen
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


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