Publications of the Research Institute for Mathematical Sciences
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Published online: 1997-04-30
Quantum Current Operators-II Difference Equations of Quantum Current Operators and Quantum Parafermion ConstructionJintai Ding and Boris Feigin (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)).
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