×

Free-field representation of the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\) and form factors in the higher-spin \(XXZ\) model. (English) Zbl 1020.82558


MSC:

82B23 Exactly solvable models; Bethe ansatz
17B37 Quantum groups (quantized enveloping algebras) and related deformations
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory

References:

[1] Smirnov, F., Int. J. Mod. Phys. A, 7, Suppl. B 1, 813 (1992) · Zbl 0925.17027
[2] Bernard, D.; LeClair, A., Commun. Math. Phys., 142, 99 (1991) · Zbl 0746.35037
[4] Frenkel, I. B.; Reshetikhin, N. Yu., Commun. Math. Phys., 146, 1 (1992) · Zbl 0760.17006
[5] Davies, B.; Foda, O.; Jimbo, M.; Miwa, T.; Nakayashiki, A., Commun. Math. Phys., 151, 89 (1993) · Zbl 0769.17020
[6] Jimbo, M.; Miki, K.; Miwa, T.; Nakayashiki, A., Phys. Lett. A, 168, 256 (1992)
[7] Idzumi, M.; Iohara, K.; Jimbo, M.; Miwa, T.; Nakashima, T.; Tokihiro, T., Int. J. Mod. Phys. A, 8, 1479 (1992)
[8] Smirnov, F., Form factors in Completely integrable models of quantum field Tteory (1992), World Scientific: World Scientific Singapore · Zbl 0788.46077
[9] Pakuliak, S., Annihilation poles for form factors in XXZ model (1993), preprint RIMS-933 · Zbl 0985.82503
[10] Kato, A.; Quano, Y.-H.; Shiraishi, J., Commun. Math. Phys., 157, 119 (1993) · Zbl 0795.17024
[11] Matsuo, A., Commun. Math. Phys., 160, 33 (1994) · Zbl 0797.17010
[12] Kimura, K., On free boson representation of the quantum affine algebra \(Uq( sl2) (1992)\), preprint RIMS-910
[13] Konno, H., Mod. Phys. Lett. A, 9, 1253 (1994)
[14] Frenkel, I. B.; Jing, N. H., (Proc. Natl. Acad. Sci., 85 (1988)), 9373 · Zbl 0662.17006
[15] Felder, G., Nucl. Phys. B, 317, 215 (1989)
[16] Bernard, D.; Felder, G., Commun. Math. Phys., 127, 145 (1990) · Zbl 0703.17013
[17] Wakimoto, M., Commun. Math. Phys., 104, 605 (1986) · Zbl 0587.17009
[18] Drinfield, V. G., Sov. Math. Dokl., 36, 212 (1988)
[19] Friedan, D.; Martinec, E.; Shenker, S., Nucl. Phys. B, 271, 93 (1986)
[20] Chari, V.; Pressley, A., Commun. Math. Phys., 142, 261 (1991) · Zbl 0739.17004
[21] Malikov, F., Int. J. Mod. Phys. A, 7, Suppl. B 1, 623 (1992) · Zbl 0925.17014
[22] Feigin, B.; Frenkel, E., Integrals of motion and quantum groups (1993), preprint
[23] Gasper, G.; Rahmann, M., Basic hypergeometric series, (Encyclopedia of mathematics and its applications, vol. 35 (1990), Cambridge Univ. Press: Cambridge Univ. Press Cambridge) · Zbl 0695.33001
[24] Mimachi, K., Nagoya Math. J., 116, 149 (1989) · Zbl 0688.39002
[25] Alessandrini, V.; Amati, D.; LeBellac, M.; Olive, D., Phys. Rep., 1, 269 (1971)
[26] Nakayashiki, A., Some integral formulas to the solutions of the \(sl_2\) dKZ equation with level -4 (1993), Kyushyu Univ, preprint
[27] Lukyanov, S., Free field representation for massive integrable models (1993), to appear in Commun. Math. Phys.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.