标题： 关于一种玻色-para费米实现$U_q(\widehat{sl(2)})$ 显示英文标题

标题： On a Bosonic-Parafermionic Realization of $U_q(\widehat{sl(2)})$

摘要： 我们用一个变形的自由玻色场和一对变形的parafermionic场来实现任意级别的$U_q(\widehat{sl(2)})$当前代数。结果显示这些parafermionic场的操作乘积展开式涉及无限数量的简单极点和简单零点，然后在经典极限$q\rightarrow 1$下凝聚形成分支切割。当级别$k$分别取值1和2时，我们的实现与Frenkel-Jing和Bernard的实现相一致。 显示英文摘要

摘要： We realize the $U_q(\widehat{sl(2)})$ current algebra at arbitrary level in terms of one deformed free bosonic field and a pair of deformed parafermionic fields. It is shown that the operator product expansions of these parafermionic fields involve an infinite number of simple poles and simple zeros, which then condensate to form a branch cut in the classical limit $q\rightarrow 1$. Our realization coincides with those of Frenkel-Jing and Bernard when the level $k$ takes the values 1 and 2 respectively.