Higher spin gravity with matter in AdS 3 and its CFT dual

Abstract

We study Vasiliev’s system of higher spin gauge fields coupled to massive scalars in AdS 3, and compute the tree level two and three point functions. These are compared to the large N limit of the W N minimal model, and nontrivial agreements are found. We propose a modified version of the conjecture of Gaberdiel and Gopakumar, under which the bulk theory is perturbatively dual to a subsector of the CFT that closes on the sphere.