Open Perturbatively Long-Range Integrable gl(N) Spin Chains

TL;DR

This paper constructs the most general perturbatively long-range integrable gl(N) spin chains with open boundaries, identifying new parameters for reflection phases and discussing finite-size effects.

Contribution

It introduces a comprehensive framework for open long-range integrable spin chains, including new boundary parameters and finite-size considerations.

Findings

Identified new parameters for reflection phase shifts.

Constructed the most general perturbative long-range open spin chain.

Discussed finite-size contributions and their determination.

Abstract

We construct the most general perturbatively long-range integrable spin chain with spins transforming in the fundamental representation of gl(N) and open boundary conditions. In addition to the previously determined bulk moduli we find a new set of parameters determining the reflection phase shift. We also consider finite-size contributions and comment on their determination.