Symmetries of Holographic Minimal Models

Jan, 2011
27 pages
Published in:
  • JHEP 05 (2011) 031
e-Print:

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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