Symmetries of Holographic Minimal Models
Jan, 2011
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Abstract: (arXiv)
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.- AdS-CFT Correspondence
- Chern-Simons Theories
- Conformal and W Symmetry
- field theory: conformal
- model: minimal
- coupling constant
- spin: high
- algebra: W(infinity)
- zero mode
- holography
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