【摘要】 本文用超场的语言从N=3的超共形理论的超空间形式中获得了N=3的超共形代数.建立了这个超共形代数的带有O(3)指标的基本超场表示——O(3)表示.发现此基本超场表示具有O(3)不变性.为了满足这个代数的封闭性,O(3)协变性和Jacobi恒等式,必须在理论中引入合适的群论项.基本超场按N=3的超空间费米坐标展开后,所得各分量共形场具有不同的共形权重.本文推导了这些分量共形场的算符乘积展开式(OPE),这些OPE包含了关于分量共形场的全部信息.最后,运用复围道积分方法,找到了这些分量共形场的变换规律.更多还原

【Abstract】 This paper obtains the N=3 superconformal algebra from a superspace formulation of the N=3 superconformal theory in the superfield language, and constructs the primary superfield representations——the O(3) representations of the superconformal algebra. It discovers that the primary superfield representations transform under the arbitrary representations of the O(3) symmetry and that a group theory term has to be introduced into the theory to satisfy the O(3) covariance and the closure of the superconformal algebra. And then this paper derives the operator product expansions of the component conformal fields with different conformal weights of the primary superfields. These operator product expansions include all relevant information about the component conformal fields. Their transformation rules are found by using the complex contour integral method.更多还原