Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations
Solutions of the qKZ equation associated with the quantum affine algebra U_q(widehat{sl}_2) 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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2008-06-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2008/049/ |
| _version_ | 1831602022570262528 |
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| author | Kazunori Kuroki Atsushi Nakayashiki |
| author_facet | Kazunori Kuroki Atsushi Nakayashiki |
| author_sort | Kazunori Kuroki |
| collection | DOAJ |
| description | Solutions of the qKZ equation associated with the quantum affine algebra U_q(widehat{sl}_2) 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. |
| first_indexed | 2024-12-18T15:12:41Z |
| format | Article |
| id | doaj.art-ffbd0e1fefeb4867ad277ef5384bbff3 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-18T15:12:41Z |
| publishDate | 2008-06-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-ffbd0e1fefeb4867ad277ef5384bbff32022-12-21T21:03:37ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592008-06-014049Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov EquationsKazunori KurokiAtsushi NakayashikiSolutions of the qKZ equation associated with the quantum affine algebra U_q(widehat{sl}_2) 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.http://www.emis.de/journals/SIGMA/2008/049/free fieldvertex operatorqKZ equationq-Wakimoto module |
| spellingShingle | Kazunori Kuroki Atsushi Nakayashiki Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations Symmetry, Integrability and Geometry: Methods and Applications free field vertex operator qKZ equation q-Wakimoto module |
| 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 |
| topic | free field vertex operator qKZ equation q-Wakimoto module |
| url | http://www.emis.de/journals/SIGMA/2008/049/ |
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