REALIZATION OF (sl)over-cap2(C) AT THE CRITICAL LEVEL

被引：2
|
作者：
Dunbar, Jonathan [1 ]
Jing, Naihuan [2 ]
Misra, Kailash C. [2 ]
机构：
[1] Spring Hill Coll, Dept Math, Mobile, AL 36608 USA
[2] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2014年 / 16卷 / 02期
关键词：
Affine Lie algebras; critical level; bosons; parafermions; KAC-MOODY ALGEBRAS; REPRESENTATIONS; MODULES; FAMILY;
D O I：
10.1142/S0219199714500060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An explicit realization of the affine Lie algebra (sl) over cap (2)(C) at the critical level is constructed using a mixture of bosons and parafermions. Subsequently, a representation of the associated Lepowsky-Wilson Z-algebra is given on a space of the tensor product of bosonic fields and certain semi-infinite wedge products.
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页数：13
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