Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations
Solutions of the qKZ equation associated with the quantum affine algebra Uq(^sl2) and its two dimensional evaluation representation are studied. The integral formulae derived from the free field realization of intertwining operators of q-Wakimoto modules are shown to coincide with those of Tarasov a...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2008 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149032 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations/ K. Kuroki, A. Nakayashiki // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 23 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862648492822888448 |
|---|---|
| author | Kuroki, K. Nakayashiki, A. |
| author_facet | Kuroki, K. Nakayashiki, A. |
| citation_txt | Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations/ K. Kuroki, A. Nakayashiki // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 23 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Solutions of the qKZ equation associated with the quantum affine algebra Uq(^sl2) and its two dimensional evaluation representation are studied. The integral formulae derived from the free field realization of intertwining operators of q-Wakimoto modules are shown to coincide with those of Tarasov and Varchenko.
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| first_indexed | 2025-12-01T14:52:31Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149032 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T14:52:31Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kuroki, K. Nakayashiki, A. 2019-02-19T13:10:24Z 2019-02-19T13:10:24Z 2008 Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations/ K. Kuroki, A. Nakayashiki // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 23 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81R50; 20G42; 17B69 https://nasplib.isofts.kiev.ua/handle/123456789/149032 Solutions of the qKZ equation associated with the quantum affine algebra Uq(^sl2) and its two dimensional evaluation representation are studied. The integral formulae derived from the free field realization of intertwining operators of q-Wakimoto modules are shown to coincide with those of Tarasov and Varchenko. We would like to thank Hitoshi Konno and Yasuhiko Yamada for valuable discussions and
 comments. We are also grateful to Atsushi Matsuo for useful comments on the manuscript. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations Article published earlier |
| spellingShingle | Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations Kuroki, K. Nakayashiki, A. |
| title | Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations |
| title_full | Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations |
| title_fullStr | Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations |
| title_full_unstemmed | Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations |
| title_short | Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations |
| title_sort | free field approach to solutions of the quantum knizhnik-zamolodchikov equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149032 |
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