关于UOSp（1）的群性质和实性条件|2）规范变换
On group properties and reality conditions of UOSp(1|2) gauge transformations
摘要：
对于osp（1|二、C）分次李代数，其真李子代数为su（2），我们考虑了Baker-Campbell-Hausdorff公式，给出了分次李代数的奇生成元对相乘的Grassmann奇变换参数的一个实条件. su（2）-旋量的使用澄清了格拉斯曼奇变换参数的性质，并允许我们研究相应的无穷小规范变换。我们还探讨了UOSp（1）相应群元素的作用|2）在适当的分次表示空间上，证明了厄米共轭的分次推广与Dirac伴随是相容的。广义（分次）酉条件与建议的现实条件的一致性。
英文摘要：
For osp(1|2;C) graded Lie algebra, which proper Lie subalgebra is su(2), we consider the Baker-Campbell-Hausdorff formula and formulate a reality condition for the Grassmann-odd transformation parameters that multiply the pair of odd generators of the graded Lie algebra. Utilization of su(2)-spinors clarifies the nature of Grassmann-odd transformation parameters and allow us an investigation of the corresponding infinitesimal gauge transformations. We also explore action of the corresponding group element of UOSp(1|2) on an appropriately graded representation space and find that the graded generalization of hermitian conjugation is compatible with the Dirac adjoint. Consistency of generalized (graded) unitary condition with the proposed reality condition is shown.
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