Exact higher-spin symmetry in CFT: free fermion correlators from Vasiliev Theory

TL;DR

This paper derives exact N-point correlation functions for conserved currents and scalars in a 3D free fermion model using higher-spin symmetry in 4D AdS, confirming the unbroken Vasiliev theory predictions.

Contribution

It provides explicit formulas for correlation functions as higher-spin invariants, extending previous boundary computations and deepening understanding of higher-spin symmetry in AdS/CFT.

Findings

Correlation functions match higher-spin symmetry invariants

Results extend previous boundary-only computations

Supports unbroken Vasiliev higher-spin theory in AdS/CFT

Abstract

N-point correlation functions of conserved currents and weight-two scalar operators of the three-dimensional free fermion vector model are found as invariants of the higher-spin symmetry in four-dimensional AdS. These are the correlators of the unbroken Vasiliev higher-spin theory. The results extend the recent work arXiv:1210.7963 and are complementary to arXiv:1301.3123 where the correlators were computed entirely on the boundary.