Truncation of functional relations in the XXZ model

2000/08/01 by A. A. Belavin, Belavin, A. A., S. Yu. Gubanov +4
Engineering · Physics and Astronomy · #Advanced Research in Systems and Signal Processing #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0008011

16 pages,LaTeX

openalex publication_date 2000/08/01 · arxiv created 2001/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is the abstract of the revised paper. The integrable XXZ model with a special open boundary condition is considered. We study Sklyanin transfer matrices after quantum group reduction in roots of unity. In this case Sklyanin transfer matrices satisfy a closed system of truncated functional equations. The algebraic reason for the truncation is found.The important role in proving of the result is performed by Zamolodchikov algebra introduced in the paper.

Related

• Reduction of XXZ model with generalized periodic boundary conditions
• Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
• Correlation Functions of Finite XXZ model with Boundaries
• Bethe Ansatz for the open XXZ chain from functional relations at roots of unity
• Resonance Relations for Solutions of the Elliptic QKZB Equations, Fusion Rules, and Eigenvectors of Transfer Matrices of Restricted Interaction-round-a-face Models