On the combinatorics of partition functions in AdS3/LCFT2

被引：0
作者：
Yannick Mvondo-She
Konstantinos Zoubos
机构：
[1] University of Pretoria,Department of Physics
[2] National Institute for Theoretical Physics (NITheP),undefined
来源：
Journal of High Energy Physics | / 2019卷
关键词：
AdS-CFT Correspondence; Classical Theories of Gravity; Conformal and W Symmetry; Conformal Field Models in String Theory;
D O I：
暂无
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摘要：
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 different multi-particle sectors in the partition function, which induces an interesting sl(2) structure on the n-particle components of the partition function.
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