Publications of the Research Institute for Mathematical Sciences


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Volume 33, Issue 2, 1997, pp. 285–300
DOI: 10.2977/prims/1195145452

Published online: 1997-04-30

Quantum Current Operators-II Difference Equations of Quantum Current Operators and Quantum Parafermion Construction

Jintai Ding[1] and Boris Feigin[2]

(1) Kyoto University, Japan
(2) Independent University of Moscow, Russian Federation

For the current realization of the affine quantum groups, a simple comultiplication for the quantum current operators was given by Drinfeld. With this comultiplication, we prove that, for the integrable modules of Uq(sl^(2)) of level k + 1, x±(z)x±(zq±2) ⋯ x±(zq±2k) are vertex operators satisfying certain q-difference equations, and we derive the quantum parafermions of Uq(sl^(2)).

Keywords:

Ding Jintai, Feigin Boris: Quantum Current Operators-II Difference Equations of Quantum Current Operators and Quantum Parafermion Construction. Publ. Res. Inst. Math. Sci. 33 (1997), 285-300. doi: 10.2977/prims/1195145452