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Topics in Gauge/Gravity Duality
Includes bibliographical references.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2015
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| _version_ | 1867613252031086592 |
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| access_status_str | Open Access |
| author | Rughoonauth, Nitin |
| author2 | Murugan, Jeffrey |
| author_browse | Murugan, Jeffrey Rughoonauth, Nitin |
| author_facet | Murugan, Jeffrey Rughoonauth, Nitin |
| author_sort | Rughoonauth, Nitin |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/13216 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:10.259Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/13216 Topics in Gauge/Gravity Duality Rughoonauth, Nitin Murugan, Jeffrey Applied Mathematics Includes bibliographical references. The gauge theory/gravity correspondence encompasses a variety of di_erent specific dualities. We investigate various topics in the context of Super–Yang- Mills/type IIB string theory and superconformal Chern-Simons-matter/type IIA string theory dualities. We carry out a rather extensive study of the type IIA AdS3_S3_S3_S1 Green- Schwarz superstring, up to quadratic order in fermions. We discuss issues related to fixing its _-symmetry and show the one-loop finiteness of two-point functions of bosonic fields. We then perform a Hamiltonian analysis and compare SU(2) string states with predictions from the conjectured Bethe equations. Furthermore, we show that, at least at tree-level, the two-body S-matrix is reflectionless. We then concern ourselves with extending Mikhailov’s construction of giant gravitons from holomorphic functions to include meromorphic functions, which lead to giants with non-trivial topologies in AdS5_S5. We explore what topological configurations giants, whose dynamics preserve a certain amount of supersymmetry, assume. We are particularly interested in solutions created by a localised modification of a set of intersecting spherical giant gravitons, as this seems the most tractable limit. We finally explore some aspects of holographic particle-vortex duality, in particular its realisation in the ABJM model and a possible relation to Maxwell duality in AdS4. We formulate a symmetric version of the transformation that acts as a self-duality, show how to embed it as an abelian duality in the (2+1)-dimensional, N = 6 super–Chern-Simons-matter theory that is the ABJM model, and speculate on a possible non-abelian extension. 2015-07-01T08:52:27Z 2015-07-01T08:52:27Z 2014 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/13216 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Applied Mathematics Rughoonauth, Nitin Topics in Gauge/Gravity Duality |
| thesis_degree_str | Doctoral |
| title | Topics in Gauge/Gravity Duality |
| title_full | Topics in Gauge/Gravity Duality |
| title_fullStr | Topics in Gauge/Gravity Duality |
| title_full_unstemmed | Topics in Gauge/Gravity Duality |
| title_short | Topics in Gauge/Gravity Duality |
| title_sort | topics in gauge gravity duality |
| topic | Applied Mathematics |
| url | http://hdl.handle.net/11427/13216 |
| work_keys_str_mv | AT rughoonauthnitin topicsingaugegravityduality |