Supersymmetric Extension of the Reflection Equation Algebra and Integrable Boundary Conditions in Doped Spin-1 Model

• Ge Xiang-Yu

  Information School, Zhongnan University of Economics and Law Department of Physics, Graduate School of Science, University of Tokyo

• Wadati Miki

  Department of Physics, Graduate School of Science, University of Tokyo

Abstract

The reflection equation algebra of Sklyanin is extended to the supersymmetric case. A graded reflection equation algebra is proposed and the corresponding graded (supersymmetric) boundary quantum inverse scattering method (QISM) is formulated. As an application, integrable open-boundary conditions for the doped spin-1 chain of the supersymmetric t–J model are studied in the framework of the boundary QISM. Diagonal boundary K-matrices are found and four classes of integrable boundary terms are determined.

Journal

• Journal of the Physical Society of Japan

  Journal of the Physical Society of Japan 75 (12), 124004-, 2006

  THE PHYSICAL SOCIETY OF JAPAN

Keywords

• graded and supersymmetric
• reflection equation algebra
• boundary quantum inverse scattering method
• doped spin-1 model
• integrable open-boundary conditions

Details

• CRID: 1390282679166893824
• NII Article ID: 110005716680
• NII Article ID: 210000106446
• NII Book ID: AA00704814
• DOI: 10.1143/jpsj.75.124004
• BIBCODE: 2006JPSJ...75l4004G
• ISSN: 13474073
• ISSN: 00319015
• NDL BIB ID: 8572936
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8572936
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.75.124004
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed