# The semiclassical limit of WN CFTs and Vasiliev theory

@article{Perlmutter2012TheSL,
title={The semiclassical limit of WN CFTs and Vasiliev theory},
author={Eric Perlmutter and Tom{\'a}{\vs} Proch{\'a}zka and Joris Raeymaekers},
journal={Journal of High Energy Physics},
year={2012},
volume={2013},
pages={1-50}
}
• Published 2012
• Physics
• Journal of High Energy Physics
A bstractWe propose a refinement of the Gaberdiel-Gopakumar duality conjecture between WN conformal field theories and 2+1-dimensional higher spin gravity. We make an identification of generic representations of the WN CFT in the semiclassical limit with bulk configurations. By studying the spectrum of the semiclassical limit of the WN theories and mapping to solutions of Euclidean Vasiliev gravity at λ = −N, we propose that the ‘light states’ of the WN minimal models in the ’t Hooft limit map… Expand

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#### References

SHOWING 1-10 OF 47 REFERENCES
Partition functions of holographic minimal models
• Physics
• 2011
The partition function of the ${\mathcal{W}_N}$ minimal model CFT is computed in the large N ’t Hooft limit and compared to the spectrum of the proposed holographic dual, a 3d higher spin gravityExpand
Symmetries of holographic minimal models
• Physics
• 2011
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 toExpand
Smoothed Transitions in Higher Spin AdS Gravity
We consider CFTs conjectured to be dual to higher spin theories of gravity in AdS3 and AdS4. Two-dimensional CFTs with symmetry are considered in the λ = 0 (k → ∞) limit where they are conjectured toExpand
Partition functions of higher spin black holes and their CFT duals
• Physics
• 2011
A bstractWe find black hole solutions of D = 3 higher-spin gravity in the hs[λ] ⊕ hs[λ] Chern-Simons formulation. These solutions have a spin-3 chemical potential, and carry nonzero values for anExpand
AdS3 black holes and a stringy exclusion principle
• Physics
• 1998
The duality relating near-horizon microstates of black holes obtained as orbifolds of a subset of AdS3 to the states of a conformal field theory is analyzed in detail. The SL(2,R)L?SL(2,R)R invariantExpand
Chern–Simons theory with vector fermion matter
• Physics
• 2012
We study three-dimensional conformal field theories described by U(N) Chern–Simons theory at level k coupled to massless fermions in the fundamental representation. By solving a Schwinger–DysonExpand
An AdS_3 Dual for Minimal Model CFTs
• Physics
• 2011
We propose a duality between the 2d W{sub N} minimal models in the large N't Hooft limit, and a family of higher spin theories on AdS{sub 3}. The 2d conformal field theories (CFTs) can be describedExpand
Higher spin gravity with matter in AdS3 and its CFT dual
• Physics
• 2012
A bstractWe study Vasiliev’s system of higher spin gauge fields coupled to massive scalars in AdS3, and compute the tree level two and three point functions. These are compared to the large N limitExpand
Scalar fields and three-point functions in D = 3 higher spin gravity
• Physics
• 2012
A bstractWe compute boundary three-point functions involving two scalars and a gauge field of arbitrary spin in the AdS vacuum of Vasiliev’s higher spin gravity, for any deformation parameter λ. InExpand
Correlators in WN minimal model revisited
• Physics
• 2012
A bstractIn this paper, we study a class of sphere and torus correlation functions in the WN minimal model. In particular, we show that a large class of exact sphere three-point functions of WNExpand