A-Type Open SL(2, ℂ) Spin Chain

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Antonenko, Pavel V., Derkachov, Sergey É., Valinevich, Pavel A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214186
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A-Type Open SL(2, ℂ) Spin Chain. Pavel V. Antonenko, Sergey É. Derkachov and Pavel A. Valinevich. SIGMA 21 (2025), 107, 48 pages

For the noncompact open SL(2, ℂ) spin chain, the eigenfunctions of the special matrix element of the monodromy matrix are constructed. The key ingredients of the whole construction are local Yang-Baxter -operators, -operator, and raising operators obtained by reduction from the -operator. The calcul...