论文标题
缺陷共形场理论中的图像方法
Method of images in defect conformal field theories
论文作者
论文摘要
我们提出了一个处方，用于描述辅助保形场理论（CFTS）中没有缺陷的较高维缺损保形场理论（DCFT）中的相关函数，这是二维边界CFT中图像方法的广泛概括。 $ n $运算符的相关函数从DCFT中的缺陷中插入，由辅助CFT中$ 2N $运算符的相关功能表示，每对均相对于缺陷对称地放置。对于标量运算符，我们通过匹配双方共形对称性施加的相关函数的约束来建立对应关系。我们的方法有可能从常规CFT的角度阐明DCFT的新方面。
We propose a prescription for describing correlation functions in higher-dimensional defect conformal field theories (DCFTs) by those in ancillary conformal field theories (CFTs) without defects, which is a vast generalization of the image method in two-dimensional boundary CFTs. A correlation function of $n$ operators inserted away from a defect in a DCFT is represented by a correlation function of $2n$ operators in the ancillary CFT, each pair of which is placed symmetrically with respect to the defect. For scalar operators, we establish the correspondence by matching the constraints on correlation functions imposed by conformal symmetry on both sides. Our method has potential to shed light on new aspects of DCFTs from the viewpoint of conventional CFTs.
