Higher Spin Gravity with Matter in AdS_3 and Its CFT Dual

TL;DR

This paper investigates higher spin gravity with matter in AdS_3, computes correlation functions, and finds agreement with a large N limit of a minimal model, proposing a refined duality conjecture.

Contribution

It provides explicit calculations of correlators in Vasiliev's higher spin theory and supports a modified holographic duality with a specific CFT subsector.

Findings

Tree level two and three point functions match CFT predictions

Agreement with large N limit of W_N minimal model

Proposes a refined duality conjecture for the bulk-boundary correspondence

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.