Higher Spins in AdS and Twistorial Holography

TL;DR

This work demonstrates that Vasiliev's minimal bosonic higher-spin theory in AdS4 reproduces the exact tree-level three-point functions of higher-spin currents in the dual free O(N) vector model. By working in the W=0 gauge, the bulk integration is replaced by star-product operations in twistor space, enabling a closed-form boundary-to-bulk propagation and a twistor-space representation of three-point functions. The authors show complete agreement with the free scalar O(N) CFT for the JJJ correlators, and also confirm that the type B model yields the free-fermion results; the framework extends to nonminimal Vasiliev theory and provides a path toward higher-point and loop computations and insights into HS symmetry breaking. These results solidify the proposed HS holographic duality and highlight the role of higher-derivative couplings in reproducing conformal collider data like TTT.

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.