Aq-deformation of Wakimoto modules, primary fields and screening operators
Aq-deformation of Wakimoto modules, primary fields and screening operators
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Wakimoto 模块、主场和筛选算子的 Aq 变形
DOI：
10.1007/bf02099788
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发表时间：
1994
影响因子：
2.4
通讯作者：
A. Matsuo
中科院分区：
文献类型：
--
作者：
A. Matsuo
摘要利用量子仿射代数Uq的Wakimoto模的Aq形变，研究了Frenkel和Reshetikhin的q顶点算子
$$(\宽帽子{\mathfrak{S}\mathfrak{L}}_2)$$
在任意能级≠0，−2.引入了自旋q形变初级场的Fock模形式，以及与Uq作用量(反)交换的屏蔽算符
$$(\宽帽子{\mathfrak{S}\mathfrak{L}}_2)$$
最高可达一场之差。给出了Spinj∉1/2Z≦0的主场对应的q顶点算符的交织性的证明。文中还给出了相关函数的实例计算。
AbstractTheq-vertex operators of Frenkel and Reshetikhin are studied by means of aq-deformation of the Wakimoto module for the quantum affine algebraUq
$$(\widehat{\mathfrak{s}\mathfrak{l}}_2 )$$
at an arbitrary levelk≠0, −2. A Fock-module version of theq-deformed primary field of spinj is introduced, as well as the screening operators which (anti-)commute with the action ofUq
$$(\widehat{\mathfrak{s}\mathfrak{l}}_2 )$$
up to a total difference of a field. A proof of the intertwining property is given for theq-vertex operators corresponding to the primary fields of spinj∉1/2Z≦0. A sample calculation of the correlation function is also given.