The ODE/IM Correspondence

TL;DR

This paper reviews the ODE/IM correspondence, a link between integrable quantum field theories and complex differential equations, discussing related topics like PT-symmetric quantum mechanics and the six-vertex model.

Contribution

It provides a comprehensive review of the recently discovered ODE/IM correspondence and related concepts in integrable systems and quantum mechanics.

Findings

Connection established between integrable models and differential equations

Discussion of PT-symmetric quantum mechanics features

Explanation of the six-vertex model and Bethe ansatz

Abstract

This article reviews a recently-discovered link between integrable quantum field theories and certain ordinary differential equations in the complex domain. Along the way, aspects of PT-symmetric quantum mechanics are discussed, and some elementary features of the six-vertex model and the Bethe ansatz are explained.