Differential equations for general SU(n) Bethe ansatz systems

TL;DR

This paper reveals that SU(n) Bethe Ansatz equations with arbitrary twist parameters can be embedded within specific nth order ordinary differential equations, offering new insights into their structure and solutions.

Contribution

It demonstrates a novel connection between SU(n) Bethe Ansatz equations and higher-order differential equations, extending previous understanding.

Findings

Bethe Ansatz equations are embedded in nth order ODEs

Arbitrary twist parameters are incorporated into the differential equations

Implications for solving and analyzing SU(n) integrable systems

Abstract

We show that SU(n) Bethe Ansatz equations with arbitrary `twist' parameters are hidden inside certain nth order ordinary differential equations, and discuss various consequences of this fact.