On the combinatorics of partition functions in AdS3 /LCFT2

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dc.contributor.author Mvondo-She, Yannick
dc.contributor.author Zoubos, Konstantinos
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


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