Finite dimensional irreducible representations of Lie superalgebra D(2,1;α)

作     者：陈曦 杨文力 丁祥茂 张耀中 Xi Chen;Wen-Li Yang;Xiang-Mao Ding;Yao-Zhong Zhang

作者机构：College of Intelligent Systems Science and EngineeringHubei Minzu University 445000China Institute of Modern PhysicsNorthwest UniversityXian 710069China Institute of Applied MathematicsAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100080China School of Mathematics and PhysicsThe University of QueenslandBrisbaneQLD 4072Australia 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2024年第76卷第2期

页      面：14-28页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：financial support from the National Natural Science Foundation of China(Grant No.11405051) supported by the Australian Research Council Discovery Project DP190101529 supported by NSFC Grant 11775299 

主　　题：superalgebra representations shift operator conformal field theory 

摘      要：This paper focuses on the finite dimensional irreducible representations of Lie superalgebra D(2,1;α).We explicitly construct the finite dimensional representations of the superalgebra D(2,1;α)by using the shift operator and differential operator *** ordinary Lie algebra representation,there are typical and atypical representations for most ***,its typical and atypical representation conditions are also *** results are expected to be useful for the construction of primary fields of the corresponding current superalgebra of D(2,1;α).