Three point functions in higher spin AdS_3 supergravity

Abstract

In a previous work we have proposed that the Prokushkin-Vasiliev higher spin N=2 supergravity on AdS_3 is dual to a large N limit of the N=(2,2) CP^N Kazama-Suzuki model. There is now strong evidence supporting this proposal based on symmetry and spectrum comparison. In this paper we will give further evidence for the duality by studying correlation functions. We compute boundary three point functions with two fermionic operators and one higher spin bosonic current in terms of the bulk supergravity theory. Then we compare with the results in the dual CFT, where the supersymmetry of the theory turns out to be very helpful. In particular we use it to confirm results conjectured in the bosonic case. Moreover, correlators with a fermionic current can be obtained via supersymmetry.

53 pages

References in corpus (6)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Symmetries of Holographic Minimal Models
• Higher Spins in AdS and Twistorial Holography
• N=1 supersymmetric higher spin holography on AdS_3
• Three-Point Functions in N=2 Higher-Spin Holography

Cited by in corpus (27)

• Extended higher spin holography and Grassmannian models
• Higher spin AdS_3 holography with extended supersymmetry
• N=1 supersymmetric higher spin holography on AdS_3
• Three-Point Functions in N=2 Higher-Spin Holography
• Conical defects and N=2 higher spin holography
• Higher Spin Currents in the N=1 Stringy Coset Minimal Model
• Higher Spin Currents with Arbitrary N in the N=1 Stringy Coset Minimal Model
• The $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations
• Dualities from higher-spin supergravity
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• Black holes in higher spin supergravity
• Higher Spin Currents in Wolf Space for Generic N
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• Higher-spin gauge theories in three spacetime dimensions
• Higgs phenomenon for higher spin fields on AdS_3
• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography
• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• The $\mathcal{N}=4$ Coset Model and the Higher Spin Algebra
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Aspects of Higher-Spin Theory with Fermions
• ABJ Theory in the Higher Spin Limit
• Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry
• Adding Complex Fermions to the Grassmannian-like Coset Model
• On the $\mathcal{N}=3$ and $\mathcal{N}=4$ superconformal holographic dictionary
• The Grassmannian-like Coset Model and the Higher Spin Currents