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

  • Jintai Ding

    Kyoto University, Japan
  • Boris Feigin

    Independent University of Moscow, Russian Federation

Abstract

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 of level , are vertex operators satisfying certain q-difference equations, and we derive the quantum parafermions of .

Cite this article

Jintai Ding, Boris Feigin, Quantum Current Operators-II Difference Equations of Quantum Current Operators and Quantum Parafermion Construction. Publ. Res. Inst. Math. Sci. 33 (1997), no. 2, pp. 285–300

DOI 10.2977/PRIMS/1195145452