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dc.identifier.urihttp://hdl.handle.net/11401/76721
dc.description.sponsorshipThis work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.en_US
dc.formatMonograph
dc.format.mediumElectronic Resourceen_US
dc.language.isoen_US
dc.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dc.typeDissertation
dcterms.abstractIn this dissertation we perform exact, non-perturbative computations in supersymmetric and superconformal quantum field theories. In the first part, we show that the conformal bootstrap equations, which implement the requirement that in a conformal quantum field theory any four-point function should be crossing symmetric, have an exactly solvable truncation in theories with extended supersymmetry. As a result, we introduce a new 4d/2d correspondence that assigns to any four-dimensional N =2 superconformal quantum field theory, Lagrangian or non-Lagrangian, a two-dimensional chiral algebra, and subsequently explore its structure in the context of theories of class S. In the second part, we extend the application of the so-called Higgs branch localization technique to evaluate exactly the path integral of Lagrangian supersymmetric quantum field theories, placed on compact three- and four-dimensional Euclidean manifolds.
dcterms.available2017-09-20T16:51:03Z
dcterms.contributorvan Nieuwenhuizen, Peteren_US
dcterms.contributorRastelli, Leonardoen_US
dcterms.contributorMcGrew, Clarken_US
dcterms.contributorRocek, Martinen_US
dcterms.contributorTakhtajan, Leon.en_US
dcterms.creatorPeelaers, Wolfger
dcterms.dateAccepted2017-09-20T16:51:03Z
dcterms.dateSubmitted2017-09-20T16:51:03Z
dcterms.descriptionDepartment of Physics.en_US
dcterms.extent344 pg.en_US
dcterms.formatMonograph
dcterms.formatApplication/PDFen_US
dcterms.identifierhttp://hdl.handle.net/11401/76721
dcterms.issued2015-12-01
dcterms.languageen_US
dcterms.provenanceMade available in DSpace on 2017-09-20T16:51:03Z (GMT). No. of bitstreams: 1 Peelaers_grad.sunysb_0771E_12444.pdf: 2355466 bytes, checksum: efa3ed9c517145aeb02ed03b0be73036 (MD5) Previous issue date: 1en
dcterms.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dcterms.subjectPhysics
dcterms.titleExact Results in Supersymmetric and Superconformal Quantum Field Theories
dcterms.typeDissertation


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