Quantum current operators. I. Zeros and poles of quantum current operators and the condition of quantum integrability
نویسندگان
چکیده
منابع مشابه
Zeros and Poles of Quantum Current Operators and the Condition of Quantum Integrability
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 study the zeros and poles of the quantum current operators and present a condition of integrability on the quantum current of Uq ( ŝl(2) ) , which is a deformation of the corresponding condition for ŝl(2).
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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(ŝl(2)) of level k + 1, x(z)x(zq) · · · x(zq) are vertex operators satisfying certain q-difference equations, and we derive the quantum parafermions of Uq(ŝl(2)).
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1997
ISSN: 0034-5318
DOI: 10.2977/prims/1195145451