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arXiv · 1101.2910

Symmetries of Holographic Minimal Models

Matthias R. Gaberdiel·Thomas Hartman
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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 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.

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Matthias R. Gaberdiel, Thomas Hartman. 2011-05-12. Symmetries of Holographic Minimal Models. https://doi.org/10.1007/jhep05(2011)031

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