Higher Spins in AdS and Twistorial Holography

Abstract

In this paper we simplify and extend previous work on three-point functions in Vasiliev's higher spin gauge theory in AdS4. We work in a gauge in which the space-time dependence of Vasiliev's master fields is gauged away completely, leaving only the internal twistor-like variables. The correlation functions of boundary operators can be easily computed in this gauge. We find complete agreement of the tree level three point functions of higher spin currents in Vasiliev's theory with the conjectured dual free O(N) vector theory.

23 pages. v3: minor errors fixed, added comments and references

References in corpus (12)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• AdS Dual of the Critical O(N) Vector Model
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Massless Higher Spins and Holography
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• Higher-Spin Gauge Theories in Four, Three and Two Dimensions
• Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings
• SL(2,Z) Action on Three-Dimensional CFTs and Holography
• An Exact Solution of 4D Higher-Spin Gauge Theory
• Star-Product and Massless Free Field Dynamics in $Ad{S}_4$

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