The Higher Spin/Vector Model Duality

TL;DR

This paper reviews the duality between higher spin gauge theories in AdS4 and 3D vector models, focusing on holographic correlation functions and presenting new results on parity-odd structures in three-point functions.

Contribution

It provides a comprehensive review of the higher spin/vector model duality and introduces new calculations of parity-odd structures in three-point functions within Vasiliev theories.

Findings

Holographic correlation functions match between theories

New results on parity-odd three-point structures

Enhanced understanding of parity violation in higher spin theories

Abstract

This paper is mainly a review of the dualities between Vasiliev's higher spin gauge theories in AdS4 and three dimensional large N vector models, with focus on the holographic calculation of correlation functions of higher spin currents. We also present some new results in the computation of parity odd structures in the three point functions in parity violating Vasiliev theories.