Analytical Bethe ansatz in gl(N) spin chains

TL;DR

This paper develops a comprehensive analytical Bethe ansatz approach for gl(N) spin chains with various boundary conditions and representations, broadening the method's applicability in integrable models.

Contribution

It introduces a unified analytical Bethe ansatz framework for gl(N) spin chains with arbitrary site representations and different boundary conditions, including open and soliton non-preserving cases.

Findings

Applicable to closed and open spin chains

Handles arbitrary representations at each site

Includes soliton non-preserving boundary cases

Abstract

We present a global treatment of the analytical Bethe ansatz for gl(N) spin chains admitting on each site an arbitrary representation. The method applies for closed and open spin chains, and also to the case of soliton non-preserving boundaries.