Invitation to Random Tensors

TL;DR

This paper introduces the concept of random tensors, highlighting their importance as a higher-dimensional generalization of random matrices, and serves as a preface to a special issue on tensor models.

Contribution

It provides a condensed overview of random tensors, integrating recent developments and pedagogical insights for a broad audience.

Findings

Random tensors generalize random matrices to higher dimensions.

The special issue includes eight comprehensive reviews on tensor models.

The overview bridges foundational concepts with recent research advances.

Abstract

This article is preface to the SIGMA special issue "Tensor Models, Formalism and Applications", http://www.emis.de/journals/SIGMA/Tensor_Models.html. The issue is a collection of eight excellent, up to date reviews on random tensor models. The reviews combine pedagogical introductions meant for a general audience with presentations of the most recent developments in the field. This preface aims to give a condensed panoramic overview of random tensors as the natural generalization of random matrices to higher dimensions.