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Generalized Geometry and Hopf Twists
Dissertation (MSc)--University of Pretoria, 2016.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2016
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| _version_ | 1867613661267230720 |
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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 | © 2016 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 | Dissertation (MSc)--University of Pretoria, 2016. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/57238 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:39:41.715Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| 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:2263/57238 Generalized Geometry and Hopf Twists Zoubos, Konstantinos sickmech@gmail.com Dlamini, Siphesihle Hector UCTD Dissertation (MSc)--University of Pretoria, 2016. The Leigh-Strassler theories are marginal deformations of the N = 4 SYM theory preserving N = 1 Supersymmetry. As such they admit a Hopf algebra structure which is a quantum group deformation of the SU(3) structure of the R-symmetry of N = 4 SYM. We reproduce the b-deformed theory, a subset of the Leigh-Strassler theories, from the Hopf twist approach and investigate how the twist manifests itself on the gravity dual by defining a star product between chiral superfields of the b-deformed field theory. The treatment on the gravity side is done in the Generalized Geometry framework. This star product is then used to deform the pure spinors of six-dimensional flat space and from the deformed spinors we obtain an N = 2 solution of Supergravity. The Lunin-Maldacena background dual to the b-deformed theory is recovered when a stack of D3-branes is introduced in this N = 2 solution. Alongside the b-deformed theory we consider a unitarily equivalent theory, which we refer to as a wdeformed theory. In this approach the role of the twist is transparent from the field theory to the gravity dual, making it useful in constructing backgrounds dual to the full Leigh-Strassler family of theories. tm2016 Physics MSc Unrestricted 2016-10-14T07:32:49Z 2016-10-14T07:32:49Z 2016-09-01 2016 Dissertation Dlamini, SH 2016, Generalized Geometry and Hopf Twists, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/57238> S2016 http://hdl.handle.net/2263/57238 en © 2016 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 | UCTD Generalized Geometry and Hopf Twists |
| title | Generalized Geometry and Hopf Twists |
| title_full | Generalized Geometry and Hopf Twists |
| title_fullStr | Generalized Geometry and Hopf Twists |
| title_full_unstemmed | Generalized Geometry and Hopf Twists |
| title_short | Generalized Geometry and Hopf Twists |
| title_sort | generalized geometry and hopf twists |
| topic | UCTD |
| url | http://hdl.handle.net/2263/57238 |