An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction

TL;DR

This series of articles provides an introduction to integrable models and their applications within the AdS/CFT correspondence, covering classical integrability, symmetries, scattering, Bethe ansatz, and quantum field theory structures.

Contribution

It offers a comprehensive overview of integrability concepts and their relevance to AdS/CFT, serving as an accessible primer for researchers in the field.

Findings

Integrability concepts are crucial in understanding AdS/CFT correspondence.

The articles review applications of Yangian symmetry and Bethe ansatz in gauge-string duality.

The series highlights the role of integrable structures in quantum field theories related to AdS/CFT.

Abstract

We introduce a series of articles reviewing various aspects of integrable models relevant to the AdS/CFT correspondence. Topics covered in these reviews are: classical integrability, Yangian symmetry, factorized scattering, the Bethe ansatz, the thermodynamic Bethe ansatz, and integrable structures in (conformal) quantum field theory. In the present article we highlight how these concepts have found application in AdS/CFT, and provide a brief overview of the material contained in this series.