Differential Operator Realization of the Exceptional Superalgebra D（2,1;α） and Its Application

In this paper,we give the explicit expressions of the differential operator representations of the exceptional Lie superalgebra D（2,1;α）.Based on these expressions,we construct free field realizations of the currents associated with D（2,1;α） at an arbitrary level k.

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Bibliographic Details
Published in理论物理通讯：英文版 Vol. 57; no. 5; pp. 825 - 832
Main Author 陈曦 丁祥茂 王晓辉 杨文力
Format Journal Article
LanguageEnglish
Published 2012
Subjects
分算
子表示
应用
李超代数
自由场
表达式
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ISSN0253-6102

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Summary:In this paper,we give the explicit expressions of the differential operator representations of the exceptional Lie superalgebra D（2,1;α）.Based on these expressions,we construct free field realizations of the currents associated with D（2,1;α） at an arbitrary level k.
Bibliography:CHEN Xi,1 DING Xiang-Mao,2 WANG Xiao-Hui,3 and YANG Wen-Li 1,1 Institute of Modern Physics,Northwest University,Xi＇an 710069,China 2 Institute of Applied Mathematics,Academy of Mathematics and Systems Sciences,Chinese Academy of Sciences,P.O.Box 2734,Beijing 100080,China 3 Department of Physics,Northwest University,Xi＇an 710069,China
11-2592/O3
WZNW model; current algebra; differential operator realization; free field realization
In this paper,we give the explicit expressions of the differential operator representations of the exceptional Lie superalgebra D（2,1;α）.Based on these expressions,we construct free field realizations of the currents associated with D（2,1;α） at an arbitrary level k.
ISSN:0253-6102