Algebraic Bethe ansatz for 19-vertex models with upper triangular K-matrices

Abstract

By means of an algebraic Bethe ansatz approach we study the Zamolodchikov-Fateev and Izergin-Korepin vertex models with non-diagonal boundaries, characterized by reflection matrices with an upper triangular form. Generalized Bethe vectors are used to diagonalize the associated transfer matrix. The eigenvalues as well as the Bethe equations are presented.

30 pages; v2: typos corrected, published

References in corpus (4)

• Exact solutions and elementary excitations in the XXZ spin chain with unparallel boundary fields
• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• A note on the boundary spin $s$ XXZ chain
• The Yang-Baxter equation for PT invariant nineteen vertex models

Cited by in corpus (1)

• Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases