Action of the monodromy matrix entries in the generalized algebraic Bethe ansatz

Abstract

We consider an $XYZ$ spin chain within the framework of the generalized algebraic Bethe ansatz. We calculate the actions of monodromy matrix elements on Bethe vectors as a linear combination of new Bethe vectors. We also compute the multiple action of the gauge transformed monodromy matrix elements on the pre-Bethe vector and conceive the result in terms of a partition function of the 8-vertex model.

21 pahes, no figures, typos are corrected

References in corpus (3)

• Dynamical structure factor at small q for the XXZ spin-1/2 chain
• SOS model partition function and the elliptic weight functions
• Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$-Invariant Integrable Models