Introduction

Abstract

AbstractThis chapter presents an overview of the recent advances in random tensor models and their connections with quantum gravity, conformal field theory and statistical physics. Inspired by matrix models in two dimensions, tensor models have been introduced in the 1990s with the aim of providing a theory of random higher dimensional spaces. However, for twenty years tensor models failed to match the success of matrix models because, for a long time, a 1/N expansion for tensor models could not be found. This difficulty has recently been overcome and the appropriate 1/N expansion has been discovered. This result is at the foundation of the recent advances in the field.