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dc.contributor.author | Mvondo-She, Yannick![]() |
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dc.contributor.author | Zoubos, Konstantinos![]() |
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dc.date.accessioned | 2021-02-04T05:58:36Z | |
dc.date.available | 2021-02-04T05:58:36Z | |
dc.date.issued | 2019-05-17 | |
dc.description.abstract | Three-dimensional Topologically Massive Gravity at its critical point has been conjectured to be holographically dual to a Logarithmic CFT. However, many details of this correspondence are still lacking. In this work, we study the 1-loop partition function of Critical Cosmological Topologically Massive Gravity, previously derived by Gaberdiel, Grumiller and Vassilevich, and show that it 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. Our reformulation allows us to match the TMG partition function to states on the CFT side, including the multi-particle states of t (the logarithmic partner of the CFT stress tensor) which had previously been elusive. We also discuss the appearance of a ladder action between the di erent multi-particle sectors in the partition function, which induces an interesting sl(2) structure on the n-particle components of the partition function. | en_ZA |
dc.description.department | Physics | en_ZA |
dc.description.sponsorship | SCOAP | en_ZA |
dc.description.uri | https://www.springer.com/journal/13130 | en_ZA |
dc.identifier.citation | Mvondo-She, Y., Zoubos, K. On the combinatorics of partition functions in AdS3/LCFT2. Journal of High Energy Physics 2019, 97 (2019). https://doi.org/10.1007/JHEP05(2019)097. | en_ZA |
dc.identifier.issn | 1029-8479 (online) | |
dc.identifier.other | 10.1007/JHEP05(2019)097 | |
dc.identifier.uri | http://hdl.handle.net/2263/78244 | |
dc.language.iso | en | en_ZA |
dc.publisher | SpringerOpen | en_ZA |
dc.rights | © The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0). | en_ZA |
dc.subject | AdS-CFT correspondence | en_ZA |
dc.subject | Classical theories of gravity | en_ZA |
dc.subject | Conformal and W symmetry | en_ZA |
dc.subject | Conformal field models in string theory | en_ZA |
dc.title | On the combinatorics of partition functions in AdS3 /LCFT2 | en_ZA |
dc.type | Article | en_ZA |