# Chern-Simons Matter Theories and Higher Spin Gravity

## TL;DR

This paper computes three-point amplitudes in higher spin gravity and matches them with correlators in Chern-Simons matter theories, providing evidence for the AdS/CFT correspondence and exploring parity violation effects.

## Contribution

It offers the first detailed comparison of parity-violating three-point functions in higher spin gravity and Chern-Simons matter theories, confirming the modified higher spin equations.

## Key findings

- Matching three-point correlators across theories
- Confirmation of the modified higher spin equations
- Consistency with AdS/CFT correspondence

## Abstract

We compute the parity violating three point amplitudes with one scalar leg in higher spin gravity and compare results with those of Chern-Simons matter theories. The three-point correlators of the free boson, free fermion, critical vector model and Gross-Neveu model are reproduced including the dependence on the Chern-Simons coupling. We also perform a simple test of the modified higher spin equations proposed in arXiv:1605.02662 [hep-th] and find that the results are consistent with the AdS/CFT correspondence.