Higher Spins in AdS and Twistorial Holography
Simone Giombi, Xi Yin
TL;DR
This paper simplifies the calculation of three-point functions in Vasiliev's higher spin gauge theory in AdS4 by using a gauge that eliminates space-time dependence, confirming the duality with free O(N) vector theory.
Contribution
It introduces a gauge fixing that removes space-time dependence in Vasiliev's theory, enabling straightforward computation of boundary correlators and confirming the holographic duality.
Findings
Tree level three-point functions match free O(N) vector theory
Simplified computational method for higher spin correlators
Extended previous work on Vasiliev's theory
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.
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