Correlation Functions of Heavy Operators in AdS/CFT

dc.contributor.advisorVieira, Pedro
dc.contributor.advisorGaiotto, Davide
dc.contributor.advisorGomis, Jaume
dc.contributor.authorAbajian, Jacob
dc.date.accessioned2024-04-15T17:17:08Z
dc.date.available2024-04-15T17:17:08Z
dc.date.issued2024-04-15
dc.date.submitted2024-04-10
dc.description.abstractIn this thesis we investigate the holographic dual description of correlation functions of heavy operators in conformal field theory. These heavy operators have scaling dimension that scales with the CFT central charge in the large central charge limit, and they are dual to objects propagating through the bulk whose gravitational backreaction cannot be neglected. We reproduce the expected CFT correlation functions through a gravitational path integral calculation–one that requires the introduction of special terms associated to the horizons of black holes appearing in the gravitational configurations. The results for two point functions apply in arbitrary dimensions. We also discuss heavy-heavy-light-light correlation functions in various dimensions. We find results for the three point functions in two-dimensional CFT that are consistent with the expected universal behavior of heavy operator structure constants. This is consistent with the interpretation of three-dimensional Einstein gravity as the holographic dual to an ensemble of CFT2’s.en
dc.identifier.urihttp://hdl.handle.net/10012/20440
dc.language.isoenen
dc.pendingfalse
dc.publisherUniversity of Waterlooen
dc.subjectholographyen
dc.subjectconformal field theoryen
dc.subjectgravityen
dc.subjectblack holesen
dc.titleCorrelation Functions of Heavy Operators in AdS/CFTen
dc.typeDoctoral Thesisen
uws-etd.degreeDoctor of Philosophyen
uws-etd.degree.departmentPhysics and Astronomyen
uws-etd.degree.disciplinePhysicsen
uws-etd.degree.grantorUniversity of Waterlooen
uws-etd.embargo.terms0en
uws.contributor.advisorVieira, Pedro
uws.contributor.advisorGaiotto, Davide
uws.contributor.advisorGomis, Jaume
uws.contributor.affiliation1Faculty of Scienceen
uws.peerReviewStatusUnrevieweden
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

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