Open access
Date
2011-05Type
- Journal Article
ETH Bibliography
yes
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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 AdS3, 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. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000038960Publication status
publishedExternal links
Journal / series
Journal of High Energy PhysicsVolume
Pages / Article No.
Publisher
SpringerSubject
AdS-CFT Correspondence; Chern-Simons Theories; Conformal and W SymmetryOrganisational unit
03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
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ETH Bibliography
yes
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