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

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【Author】 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

【机构】 Institute of Modern Physics,Northwest University； Institute of Applied Mathematics,Academy of Mathematics and Systems Sciences,Chinese Academy of Sciences； Department of Physics,Northwest University；

【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.更多还原

【Abstract】 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.更多还原

【关键词】 WZNW model； current algebra； differential operator realization； free field realization；
【Key words】 WZNW model； current algebra； differential operator realization； free field realization；

【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;Northwest University Graduate Cross-Discipline Fund (10YJC15)

【文献出处】 Communications in Theoretical Physics ,理论物理通讯(英文版) , 编辑部邮箱 ,2012年05期

【分类号】O411.1;O152.5
【被引频次】1
【下载频次】25

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