Completeness of SoV Representation for SL(2, ℝ) Spin Chains

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Derkachov, Sergey É., Kozlowski, Karol K., Manashov, Alexander N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211360
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Completeness of SoV Representation for SL(2, ℝ) Spin Chains. Sergey É. Derkachov, Karol K. Kozlowski and Alexander N. Manashov. SIGMA 17 (2021), 063, 26 pages

This work develops a new method, based on the use of Gustafson's integrals and on the evaluation of singular integrals, allowing one to establish the unitarity of the separation of variables transform for infinite-dimensional representations of rank one quantum integrable models. We examine in...