spin gravity theories, parameterized by $\lambda$, and continuously connected to Vasiliev’s theory. For finite $N$ the higher spin currents are not conserved.'
author:
- |
    Ofer Aharony, Guy Gur-Ari, and Ran Yacoby\
    \
    [*Department of Particle Physics and Astrophysics*]{}\
    [*Weizmann Institute of Science, Rehovot 76100, Israel*]{}\
title: ' $d=3$ Bosonic Vector Models Coupled to Chern-Simons Gauge Theories'
---

Introduction
============

The $AdS$/CFT correspondence [@Maldacena:1997re] is an exact duality between quantum gravitational theories on space-times that include anti-de Sitter space $AdS_{d+1}$, and conformal field theories in $d$ space-time dimensions. This correspondence has many applications, and it has taught us a lot about strongly coupled field theories and about quantum gravity. However, while we know how to translate computations on one side of the duality to the other side, we do not yet have a derivation of the $AdS$/CFT correspondence, that would enable us in particular to know which quantum gravity theory is dual to a given conformal field theory, and vice versa. Finding such a derivation is complicated by the fact that in most examples, either one or both sides of the correspondence are strongly coupled. This is partly because the gravitational dual of any weakly coupled field theory must include 