Completeness of SoV Representation for SL(2, ℝ) Spin Chains
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...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2021 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2021
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211360 |
| 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: | 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 |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862669573998772224 |
|---|---|
| author | Derkachov, Sergey É. Kozlowski, Karol K. Manashov, Alexander N. |
| author_facet | Derkachov, Sergey É. Kozlowski, Karol K. Manashov, Alexander N. |
| citation_txt | 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 |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 detail the case of the SL(2, ℝ) spin chains.
|
| first_indexed | 2026-03-16T13:28:18Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211360 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-16T13:28:18Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Derkachov, Sergey É. Kozlowski, Karol K. Manashov, Alexander N. 2025-12-30T15:55:51Z 2021 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 1815-0659 2020 Mathematics Subject Classification: 33C70; 81R12 arXiv:2102.13570 https://nasplib.isofts.kiev.ua/handle/123456789/211360 https://doi.org/10.3842/SIGMA.2021.063 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 detail the case of the SL(2, ℝ) spin chains. This work was supported by the Russian Science Foundation project No 19-11-00131and by the DFG grants MO 1801/4-1, KN 365/13-1 (A.M.). The work of K.K.K. is supported by CNRS. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Completeness of SoV Representation for SL(2, ℝ) Spin Chains Article published earlier |
| spellingShingle | Completeness of SoV Representation for SL(2, ℝ) Spin Chains Derkachov, Sergey É. Kozlowski, Karol K. Manashov, Alexander N. |
| title | Completeness of SoV Representation for SL(2, ℝ) Spin Chains |
| title_full | Completeness of SoV Representation for SL(2, ℝ) Spin Chains |
| title_fullStr | Completeness of SoV Representation for SL(2, ℝ) Spin Chains |
| title_full_unstemmed | Completeness of SoV Representation for SL(2, ℝ) Spin Chains |
| title_short | Completeness of SoV Representation for SL(2, ℝ) Spin Chains |
| title_sort | completeness of sov representation for sl(2, ℝ) spin chains |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211360 |
| work_keys_str_mv | AT derkachovsergeye completenessofsovrepresentationforsl2rspinchains AT kozlowskikarolk completenessofsovrepresentationforsl2rspinchains AT manashovalexandern completenessofsovrepresentationforsl2rspinchains |