Twisted Holography in B-model

dc.contributor.authorBudzik, Katarzyna
dc.date.accessioned2024-08-12T17:13:07Z
dc.date.available2024-08-12T17:13:07Z
dc.date.issued2024-08-12
dc.date.submitted2024-08-12
dc.description.abstractSupersymmetric quantum field theories contain protected subsectors which can be obtained by the procedure known as twisting. The idea of twisted holography is to study holographic duals of such twists. The main example of twisted holography in this thesis is the duality between the chiral algebra subsector of N = 4 super Yang-Mills and the B-model topological string theory on the complex manifold SL(2,C). In this thesis, we study two aspects of the duality: the correspondence between determinant operators in the chiral algebra and “Giant Graviton” branes in the dual geometry, and the extension to non-conformal vacua of the chiral algebra. The second BPS subsector studied in this thesis is the holomorphic twist of 4d N = 1 super Yang-Mills. The holomorphic twist is defined as the cohomology of one supercharge and captures the quarter-BPS operators that are counted by the supersymmetric index. The twisted theory is endowed with extra structures and symmetries which are a 4d analogue of a 2d chiral algebra. We observe that the differential in the holomorphic twist receives loop corrections which make the theory topological and can be interpreted as a sign of confinement of the original theory. Finally, we present a holographic realization of the holomorphic theory in the B-model topological string theory.
dc.identifier.urihttps://hdl.handle.net/10012/20778
dc.language.isoen
dc.pendingfalse
dc.publisherUniversity of Waterlooen
dc.subjectholography
dc.subjecttopological string theory
dc.subjectsupersymmetric quantum field theory
dc.subjectchiral algebras
dc.subjectgiant gravitons
dc.titleTwisted Holography in B-model
dc.typeDoctoral Thesis
uws-etd.degreeDoctor of Philosophy
uws-etd.degree.departmentPhysics and Astronomy
uws-etd.degree.disciplinePhysics
uws-etd.degree.grantorUniversity of Waterlooen
uws-etd.embargo.terms0
uws.contributor.advisorGaiotto, Davide
uws.contributor.advisorGomis, Jaume
uws.contributor.affiliation1Faculty of Science
uws.peerReviewStatusUnrevieweden
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Budzik_Katarzyna.pdf
Size:
1.02 MB
Format:
Adobe Portable Document Format

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
6.4 KB
Format:
Item-specific license agreed upon to submission
Description: