Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains

Allan Gerrard; Vidas Regelskis

doi:10.1016/j.nuclphysb.2020.115021

paper

Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains

arXiv:1912.11497 · doi:10.1016/j.nuclphysb.2020.115021

Abstract

We construct exact eigenvectors and eigenvalues for $U_{q} (sp_{2 n})$ - and $U_{q} (so_{2 n})$ -symmetric closed spin chains by means of a nested algebraic Bethe ansatz method. We use a fusion procedure to construct higher-dimensional Lax operators. Our approach generalises and extends the results obtained by Reshetikhin and De Vega-Karowski. We also present a generalisation of Tarasov-Varchenko trace formula for nested Bethe vectors.

22 pages, v2: final version