Unitarity of the SoV Transform for SL(2, ℂ) Spin Chains

We prove the unitarity of the separation of variables transform for SL(2, ℂ) spin chains by a method based on the use of Gustafson integrals.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2023
1. Verfasser: Manashov, Alexander N.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2023
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/212045
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:Unitarity of the SoV Transform for SL(2, ℂ) Spin Chains. Alexander N. Manashov. SIGMA 19 (2023), 086, 24 pages

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
_version_ 1862643580687876096
author Manashov, Alexander N.
author_facet Manashov, Alexander N.
citation_txt Unitarity of the SoV Transform for SL(2, ℂ) Spin Chains. Alexander N. Manashov. SIGMA 19 (2023), 086, 24 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We prove the unitarity of the separation of variables transform for SL(2, ℂ) spin chains by a method based on the use of Gustafson integrals.
first_indexed 2026-03-15T08:37:29Z
format Article
fulltext
id nasplib_isofts_kiev_ua-123456789-212045
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2026-03-15T08:37:29Z
publishDate 2023
publisher Інститут математики НАН України
record_format dspace
spelling Manashov, Alexander N.
2026-01-23T10:11:38Z
2023
Unitarity of the SoV Transform for SL(2, ℂ) Spin Chains. Alexander N. Manashov. SIGMA 19 (2023), 086, 24 pages
1815-0659
2020 Mathematics Subject Classification: 33C70; 81R12
arXiv:2303.11461
https://nasplib.isofts.kiev.ua/handle/123456789/212045
https://doi.org/10.3842/SIGMA.2023.086
We prove the unitarity of the separation of variables transform for SL(2, ℂ) spin chains by a method based on the use of Gustafson integrals.
The author is grateful to S. E. Derkachov for fruitful discussions and T.A. Sinkevich for critical remarks.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Unitarity of the SoV Transform for SL(2, ℂ) Spin Chains
Article
published earlier
spellingShingle Unitarity of the SoV Transform for SL(2, ℂ) Spin Chains
Manashov, Alexander N.
title Unitarity of the SoV Transform for SL(2, ℂ) Spin Chains
title_full Unitarity of the SoV Transform for SL(2, ℂ) Spin Chains
title_fullStr Unitarity of the SoV Transform for SL(2, ℂ) Spin Chains
title_full_unstemmed Unitarity of the SoV Transform for SL(2, ℂ) Spin Chains
title_short Unitarity of the SoV Transform for SL(2, ℂ) Spin Chains
title_sort unitarity of the sov transform for sl(2, ℂ) spin chains
url https://nasplib.isofts.kiev.ua/handle/123456789/212045
work_keys_str_mv AT manashovalexandern unitarityofthesovtransformforsl2cspinchains