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q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations
Інший ID:
2000 Mathematics Subject Classification: 81R50; 20G42; 17B69
Посилання:
q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations / K. Kuroki // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 13 назв. — англ.
Підтримка:
After completing the paper we know that similar results to the present paper are obtained by H. Awata, S. Odake and J. Shiraishi [12]. I would like to thank all of them for kind correspondences and permitting me to write the results in a single authored paper. I am also grateful to Professor H. Konno for useful comments. I would like to thank Professor A. Nakayashiki for constant encouragements.
Дата:
2009
Переглядів:
326
Завантажень:
212
Анотація:
Matrix elements of intertwining operators between q-Wakimoto modules associated to the tensor product of representations of Uq(^sl2) with arbitrary spins are studied. It is shown that they coincide with the Tarasov-Varchenko's formulae of the solutions of the qKZ equations. The result generalizes that of the previous paper [Kuroki K., Nakayashiki A., SIGMA 4 (2008), 049, 13 pages].
