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dc.contributor.advisorVafa, C.
dc.contributor.authorEspahbodi, Sam
dc.date.accessioned2013-09-26T13:30:27Z
dc.date.issued2013-09-26
dc.date.submitted2013
dc.identifier.citationEspahbodi, Sam. 2013. 4d Spectra from BPS Quiver Dualities. Doctoral dissertation, Harvard University.en_US
dc.identifier.otherhttp://dissertations.umi.com/gsas.harvard:10930en
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:11110428
dc.description.abstractWe attack the question of BPS occupancy in a wide class of 4d N = 2 quantum field theories. We first review the Seiberg-Witten approach to finding the low energy Wilsonian effective action actions of such theories. In particular, we analyze the case of Gaiotto theories, which provide a large number of non-trivial examples in a unified framework. We then turn to understanding the massive BPS spectrum of such theories, and in particular their relation to BPS quivers. We present a purely 4d characterization of BPS quivers, and explain how a quiver's representation theory encodes the solution to the BPS occupancy problem. Next, we derive a so called mutation method, based on exploiting quiver dualities, to solve the quiver's representation theory. This method makes previously intractable calculations nearly trivial in many examples. As a particular highlight, we apply our methods to understand strongly coupled chambers in ADE SYM gauge theories with matter. Following this, we turn to the general story of quivers for theories of the Gaiotto class. We present a geometric approach to attaining quivers for the rank 2 theories, leading to a very elegant solution which includes a specification of quiver superpotentials. Finally, we solve these theories by an unrelated method based on gauging flavor symmetries in their various dual weakly coupled Lagrangian descriptions. After seeing that this method agrees in the rank 2 case, we will apply our new approach to the case of rank n.en_US
dc.description.sponsorshipPhysicsen_US
dc.language.isoen_USen_US
dash.licenseLAA
dc.subjectTheoretical physicsen_US
dc.subjectTheoretical mathematicsen_US
dc.subjectBPSen_US
dc.subjectcompleteen_US
dc.subjectquiveren_US
dc.subjectspectraen_US
dc.subjectsupersymmetricen_US
dc.subjectwall crossingen_US
dc.title4d Spectra from BPS Quiver Dualitiesen_US
dc.typeThesis or Dissertationen_US
dash.depositing.authorEspahbodi, Sam
dc.date.available2013-09-26T13:30:27Z
thesis.degree.date2013en_US
thesis.degree.disciplinePhysicsen_US
thesis.degree.grantorHarvard Universityen_US
thesis.degree.leveldoctoralen_US
thesis.degree.namePh.D.en_US
dc.contributor.committeeMemberStrominger, Andrewen_US
dc.contributor.committeeMemberGeorgi, Howarden_US
dash.contributor.affiliatedEspahbodi, Sam


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