Open access
Date
2011-08Type
- Journal Article
ETH Bibliography
yes
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Abstract
The partition function of the WN 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 WN algebra in the large N limit and the higher spin algebra of the Vasiliev theory. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000159734Publication status
publishedExternal links
Journal / series
Journal of High Energy PhysicsVolume
Pages / Article No.
Publisher
SpringerSubject
AdS-CFT Correspondence; Conformal and W SymmetryOrganisational unit
03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
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ETH Bibliography
yes
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