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

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.

24 pages, no figures

Cited by in corpus (7)

• New Construction of Eigenstates and Separation of Variables for SU(N) Quantum Spin Chains
• Scalar products of Bethe vectors in the models with $\mathfrak{gl}(m|n)$ symmetry
• Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$-Invariant Integrable Models
• New Compact Construction of Eigenstates for Supersymmetric Spin Chains
• Introduction to the nested algebraic Bethe ansatz
• Scalar product of twisted XXX modified Bethe vectors
• Scalar products of Bethe vectors in models with $\mathfrak{gl}(2|1)$ symmetry 1. Super-analog of Reshetikhin formula