Symmetries of holographic minimal models
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Publication:457490
DOI10.1007/JHEP05(2011)031zbMATH Open1296.81093arXiv1101.2910MaRDI QIDQ457490
Author name not available (Why is that?)
Publication date: 26 September 2014
Published in: (Search for Journal in Brave)
Abstract: It was recently proposed that a large N limit of a family of minimal model CFTs is dual to a certain higher spin gravity theory in AdS_3, where the 't Hooft coupling constant of the CFT is related to a deformation parameter of the higher spin algebra. We identify the asymptotic symmetry algebra of the higher spin theory for generic 't Hooft parameter, and show that it coincides with a family of W-algebras previously discovered in the context of the KP hierarchy. We furthermore demonstrate that this family of W-algebras controls the representation theory of the minimal model CFTs in the 't Hooft limit. This provides a non-trivial consistency check of the proposal and explains part of the underlying mechanism.
Full work available at URL: https://arxiv.org/abs/1101.2910
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