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

陈曦; 丁祥茂; 王晓辉; 杨文力

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理论物理通讯 ›› 2012, Vol. 57 ›› Issue (05) : 825-832.

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

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

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摘要

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.

Abstract

导出引用

陈曦, 丁祥茂, 王晓辉, 等. Differential Operator Realization of the Exceptional Superalgebra D(2,1;α) and Its Application[J]. 理论物理通讯, 2012, 57(05): 825-832

CHEN Xi, DING Xiang-Mao, WANG Xiao-Hui, et al. Differential Operator Realization of the Exceptional Superalgebra D(2,1;α) and Its Application[J]. Communications in Theoretical Physics, 2012, 57(05): 825-832

中图分类号： 11.25.Hf 02.20.Tw

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基金

Support from the National Natural Science Foundation of China under Grant Nos. 10931006, 10975180, and 11075126, the Ministry of Education of China under Grant No. 20116101110017 and Northwest University Graduate Cross-Discipline Fund (10YJC15)