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A quasi-Hopf structure in marginally deformed N=4 Super Yang-Mills Theory
Thesis (PhD)--University of Pretoria, 2020.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2020
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| _version_ | 1867613484888358912 |
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| access_status_str | Open Access |
| author2 | Zoubos, Konstantinos |
| author_browse | Zoubos, Konstantinos |
| author_facet | Zoubos, Konstantinos |
| collection | Thesis |
| dc_rights_str_mv | © 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Thesis (PhD)--University of Pretoria, 2020. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/75658 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:53.259Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2020 |
| publishDateRange | 2020 |
| publishDateSort | 2020 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/75658 A quasi-Hopf structure in marginally deformed N=4 Super Yang-Mills Theory Zoubos, Konstantinos sickmech@gmail.com Dlamini, Siphesihle Hector Quasi-Hopf algebra Gauge field theory Integrability Quantum groups AdS/CFT duality UCTD Thesis (PhD)--University of Pretoria, 2020. The N= 4 Super Yang-Mills theory in four dimensions admits deformations and the exactly marginal deformations of its SU(3) R-symmetry sub-sector are known as Leigh-Strassler. Leigh-Strassler deformations break the N= 4 supersymmetry down to N= 1 while preserving conformal symmetry. With exactly marginal deformations only the F-terms are deformed thus Leigh-Strassler deformations only affect the superpotential in the Lagrangian. In this thesis we study the symmetry of the marginally deformed N= 4 SYM and demonstrate that its algebraic structure can be understood in terms of quasi-Hopf algebras. Quasi-Hopf algebras have a notion of twisting due to Drinfeld which makes them a natural mathematical language with which to treat deformations. Furthermore the deformation of the N= 4 SYM superpotential is automated by the definition of a suitable star product. NiTheP Physics PhD Unrestricted 2020-08-12T11:26:54Z 2020-08-12T11:26:54Z 2020-09 2020 Thesis Dlamini, SH 2020, A quasi-Hopf structure in marginally deformed N=4 Super Yang-Mills Theory, PhD Thesis, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/75658> S2020 http://hdl.handle.net/2263/75658 en © 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | Quasi-Hopf algebra Gauge field theory Integrability Quantum groups AdS/CFT duality UCTD A quasi-Hopf structure in marginally deformed N=4 Super Yang-Mills Theory |
| title | A quasi-Hopf structure in marginally deformed N=4 Super Yang-Mills Theory |
| title_full | A quasi-Hopf structure in marginally deformed N=4 Super Yang-Mills Theory |
| title_fullStr | A quasi-Hopf structure in marginally deformed N=4 Super Yang-Mills Theory |
| title_full_unstemmed | A quasi-Hopf structure in marginally deformed N=4 Super Yang-Mills Theory |
| title_short | A quasi-Hopf structure in marginally deformed N=4 Super Yang-Mills Theory |
| title_sort | quasi hopf structure in marginally deformed n 4 super yang mills theory |
| topic | Quasi-Hopf algebra Gauge field theory Integrability Quantum groups AdS/CFT duality UCTD |
| url | http://hdl.handle.net/2263/75658 |