Partition Functions of Holographic Minimal Models

Details Partition Functions of Holographic Minimal Models Partition Functions of Holographic Minimal Models

2011-06-09

arxiv.org/abs/1106.1897v1

JHEP 1108:077,2011

Physics

High Energy Physics

High Energy Physics - Theory

56 pages

Scientific paper

10.1007/JHEP08(2011)077

The partition function of the W_N minimal model CFT is computed in the large N 't Hooft limit and compared to the spectrum of the proposed holographic dual, a 3d higher spin gravity theory coupled to massive scalar fields. At finite N, the CFT contains additional light states that are not visible in the perturbative gravity theory. We carefully define the large N limit, and give evidence that, at N = infinity, the additional states become null and decouple from all correlation functions. The surviving states are shown to match precisely (for all values of the 't Hooft coupling) with the spectrum of the higher spin gravity theory. The agreement between bulk and boundary is partially explained by symmetry considerations involving the conjectured equivalence between the W_N algebra in the large N limit and the higher spin algebra of the Vasiliev theory.

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