On Complex Gamma-Function Integrals
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-...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2020 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2020
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210607 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On Complex Gamma-Function Integrals. Sergey É. Derkachov and Alexander N. Manashov. SIGMA 16 (2020), 003, 20 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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-function integrals. In this work, we present a direct calculation of two such integrals. We also analyse properties of these integrals and show that they comprise the star-triangle relations recently discussed in the literature. It is also shown that in the quasi-classical limit, these integral identities are reduced to the duality relations for Dotsenko-Fateev integrals.
|
|---|---|
| ISSN: | 1815-0659 |