Method of images in defect conformal field theories
Method of images in defect conformal field theories
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DOI：
10.1103/physrevd.106.l081701
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发表时间：
2022-05
影响因子：
5
通讯作者：
T. Nishioka;Y. Okuyama;Soichiro Shimamori
中科院分区：
文献类型：
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作者：
T. Nishioka;Y. Okuyama;Soichiro Shimamori
我们提出了一个处方描述的相关函数在高维缺陷共形场理论（DCFTs）的辅助共形场理论（CFTs）没有缺陷，这是一个巨大的推广的图像方法在二维边界CFTs。一个相关函数的$n$运营商插入远离缺陷的DCFT是由一个相关函数的$2n$运营商在辅助CFT，每对被放置对称的缺陷。对于标量算子，我们通过匹配两侧共形对称对相关函数施加的约束来建立对应关系。我们的方法有可能从传统的CFTs的角度阐明DCFTs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.