Twisted and exceptional Tinkertoys for Gaiotto duality

dc.contributor.advisorDistler, Jacquesen
dc.contributor.committeeMemberKaplunovsky, Vadimen
dc.contributor.committeeMemberNeitzke, Andrewen
dc.contributor.committeeMemberPaban, Soniaen
dc.contributor.committeeMemberKilic, Canen
dc.creatorTrimm, Anderson Danielen
dc.date.accessioned2015-10-07T22:41:43Zen
dc.date.available2015-10-07T22:41:43Zen
dc.date.issued2015-05en
dc.date.submittedMay 2015en
dc.date.updated2015-10-07T22:41:44Zen
dc.descriptiontexten
dc.description.abstractA large class of 4d N = 2 superconformal field theories arise as compactifications of a 6d (2, 0) theory of type j = A, D, E on a punctured Riemann surface, C. These theories can be classified by listing the allowed fixtures and cylinders which can occur in a pants decomposition of C, and giving the rules for gluing them together. Different pants decompositions of the same surface give different weakly-coupled presentations of the same underlying SCFT, related by S-duality. An even larger class of theories can be constructed in this way by including "twisted" punctures, which carry a non-trivial action of the outer-automorphism group of j. In this dissertation, we discuss the classification procedure for twisted theories of type D [subscript N] , as well as for twisted and untwisted theories of type E₆. Using these results, we write the Seiberg-Witten solutions for all Spin(n) gauge theories with matter in spinor representations which can be realized by compactifying the (2, 0) theory. We also study a family of SCFTs arising from the twisted A [subscript 2N] series, whose twisted punctures are still not fully-understood.en
dc.description.departmentPhysicsen
dc.format.mimetypeapplication/pdfen
dc.identifierdoi:10.15781/T26K62en
dc.identifier.urihttp://hdl.handle.net/2152/31583en
dc.language.isoenen
dc.subjectSCFTen
dc.subjectS-dualityen
dc.titleTwisted and exceptional Tinkertoys for Gaiotto dualityen
dc.typeThesisen
thesis.degree.departmentPhysicsen
thesis.degree.disciplinePhysicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen

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