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Combinatorial and Analytic properties of partition functions in AdS/LCFT
Thesis (PhD)--University of Pretoria, 2019.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2019
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| _version_ | 1867613534224908289 |
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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, 2019. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/70243 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:37:40.523Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2019 |
| publishDateRange | 2019 |
| publishDateSort | 2019 |
| 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:2263/70243 Combinatorial and Analytic properties of partition functions in AdS/LCFT Zoubos, Konstantinos vondosh7@gmail.com Mvondo-She, Yannick UCTD Physics Thesis (PhD)--University of Pretoria, 2019. The primary goal of this thesis is the study of the 1-loop partition function of critical topologically massive gravity, a theory conjectured to be dual to a logarithmic conformal field theory through the AdS3/LCFT2 correspondence. In particular, a better understanding of the combinatorics of the multi-log sector has been desired, in order to give the partition function a more concrete interpretation from an LCFT perspective. In this work we show that the partition function can be usefully rewritten as a Bell polynomial expansion. We also show that there is a relationship between this Bell polynomial expansion and the plethystic exponential. Finally, we discuss the appearance of a ladder action between the different multi-particle sectors in the partition function, which induces a sl(2) structure on the n-particle components of the partition function. NITheP Physics PhD Unrestricted 2019-06-19T08:38:41Z 2019-06-19T08:38:41Z 2019 2019 Thesis Mvondo-She, YON 2019, Combinatorial and Analytic properties of partition functions in AdS/LCFT, PhD Thesis, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/70243> Mvondo-She, YON 2019, Combinatorial and Analytic properties of partition functions in AdS/LCFT, PhD Thesis, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/70243> S2019 http://hdl.handle.net/2263/70243 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 | UCTD Physics Combinatorial and Analytic properties of partition functions in AdS/LCFT |
| title | Combinatorial and Analytic properties of partition functions in AdS/LCFT |
| title_full | Combinatorial and Analytic properties of partition functions in AdS/LCFT |
| title_fullStr | Combinatorial and Analytic properties of partition functions in AdS/LCFT |
| title_full_unstemmed | Combinatorial and Analytic properties of partition functions in AdS/LCFT |
| title_short | Combinatorial and Analytic properties of partition functions in AdS/LCFT |
| title_sort | combinatorial and analytic properties of partition functions in ads lcft |
| topic | UCTD Physics |
| url | http://hdl.handle.net/2263/70243 |