Multiple commutation relations in the models with gl(2|1) symmetry

TL;DR

This paper derives multiple commutation relations for models with gl(2|1) symmetry, enabling new representations of Bethe vectors in quantum integrable systems.

Contribution

It introduces a set of multiple commutation relations for monodromy matrix entries in gl(2|1) models, facilitating alternative Bethe vector representations.

Findings

Derived multiple commutation relations for gl(2|1) models

Provided new representations for Bethe vectors

Enhanced understanding of algebraic structures in integrable models

Abstract

We consider quantum integrable models with $\mathfrak{gl}(2|1)$ symmetry. We derive a set of multiple commutation relations between the monodromy matrix entries. These multiple commutation relations allow us to obtain different representations for Bethe vectors.