Partition functions of holographic minimal models

The partition function of the 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 th...

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Bibliographic Details
Published in:The journal of high energy physics 2011-08, Vol.2011 (8), Article 77
Main Authors: Gaberdiel, Matthias R., Gopakumar, Rajesh, Hartman, Thomas, Raju, Suvrat
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Equivalence
Gravitation
High energy physics
Partitions (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Scalars
String Theory
Symmetry
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Summary:The partition function of the 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  = ∞, 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 algebra in the large N limit and the higher spin algebra of the Vasiliev theory.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2011)077