论文标题
Appell功能中的缺陷共形块
Defect Conformal Blocks from Appell Functions
论文作者
论文摘要
我们开发了一个理论形式主义，以研究缺陷共形场理论中的相关功能，并具有多个批量和缺陷领域的插入。这种形式主义用于构建标量场三分函数的缺陷保形块。从具有一个散装和一个缺陷场的配置开始，为此，相关函数由共形对称性确定，我们探索了两种可能性，添加了一个附加的缺陷或散装场。在这两种情况下，都可以通过经典的超小几幅功能来表达块，尽管有两个散装和一个缺陷字段的情况需要Appell的功能$ F_4 $。
We develop a group theoretical formalism to study correlation functions in defect conformal field theory, with multiple insertions of bulk and defect fields. This formalism is applied to construct the defect conformal blocks for three-point functions of scalar fields. Starting from a configuration with one bulk and one defect field, for which the correlation function is determined by conformal symmetry, we explore two possibilities, adding either one additional defect or bulk field. In both cases it is possible to express the blocks in terms of classical hypergeometric functions, though the case of two bulk and one defect field requires Appell's function $F_4$.
