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SU(2,2|N)<N′>超统一理论中大统一理论的嵌入

EMBEDDING GRAND UNIFIED THEORIES IN SU(2,2 IN<N’> SUPERGRAVITY

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【作者】 邵常贵; 徐邦清;

【Author】 Shao Chonggqui (Wuhan Institute of Technology) Xu Banqing (Institute of Atomic Energy, Academia Sinica)

【机构】 武汉工学院; 中国科学院原子能研究所;

【摘要】 本文利用SU(5)大统一理论的Fermi子填充表示和Higgs粒子表示构造了超多重态的超空间(?)+Ω。通过将超群SU(2,2|5)的内对称子群SU(5)的生成元按SU(3)×SU(2)分解,将大统一群SU(5)嵌入了超群SU(2,2|5)之中。利用文献[1]的某些结果,通过计算,实现了SU(5)大统一理论在SU(2,2|5)<3>超统一理论中的具体嵌入,得到了嵌入后的拉氏量,从而得到一种可以包含大统一理论的群统一理论模型。同时还对该模型中不同旋型的粒子数进行了讨论。

【Abstract】 A superspace for supermultiplets V_⊕ ■ ⊕ Ω is constructed by using Fermion pack representations and Higgs particle representations used in grand unified theory.According to the direct product form SU(3)×SU(2), by way of decomposing the generators of internal symmetrical subgroup SU (5) of supergroup SU(2, 2/5), we have embedded the grand unified gauge gloup SU(5) into the supergroup SU(2, 2/5). By applying some results of ref. [1] and our calculation, the concrete embedding of SU(5) grand unified theory in the SU(2,2/5) <3> superunified theory is realized and the Lagrangian embedding the SU (5)grand unified theory is obtained, then we find a supergravity theory model containing the grand unified theory. The particle numbers of different hilicities in the model are discussed also.

  • 【文献出处】 武汉工学院学报 , 编辑部邮箱 ,1985年03期
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