Aiming at nonexperts, the key mechanisms of higher-spin extensions of ordinary gravities in
four dimensions and higher are explained. An overview of various no-go theorems for low …

This paper is mainly a review of the dualities between Vasiliev's higher spin gauge theories
in AdS 4 and three dimensional large N vector models, with focus on the holographic …

A bstract We continue the study of the Sachdev-Ye-Kitaev model in the Large N limit.
Following our formulation in terms of bi-local collective fields with dynamical …

We study three-dimensional conformal field theories described by U (N) Chern–Simons
theory at level k coupled to massless fermions in the fundamental representation. By solving …

A bstract We discuss universal properties of conformal field theories with holographic duals.
A central feature of these theories is the existence of a low-lying sector of operators whose …

A bstract We study three dimensional O (N) k and U (N) k Chern-Simons theories coupled to
a scalar field in the fundamental representation, in the large N limit. For infinite k this is just …

A bstract We consider the conformal field theory of N complex massless scalars in 2+ 1
dimensions, coupled to a U (N) Chern-Simons theory at level k. This theory has a't Hooft …

A bstract In this work, we formulate a path-integral optimization for two dimensional
conformal field theories perturbed by relevant operators. We present several evidences how …

A bstract We explicitly rewrite the path integral for the free or critical O (N)(or U (N)) bosonic
vector models in d space-time dimensions as a path integral over fields (including massless …

In these lectures we give an overview of the duality between gravitational theories of
massless higher spin fields in AdS and large N vector models. We first review the original …