On Complex Gamma-Function Integrals

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Derkachov, Sergey É., Manashov, Alexander N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210607
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Complex Gamma-Function Integrals. Sergey É. Derkachov and Alexander N. Manashov. SIGMA 16 (2020), 003, 20 pages

It was observed recently that relations between matrix elements of certain operators in the SL(2, ℝ) spin chain models take the form of multidimensional integrals derived by R.A. Gustafson. The spin magnets with SL(2, ℂ) symmetry group and L₂(ℂ) as a local Hilbert space give rise to a new type of Γ-...