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 F₄.

我们建立了一个小组理论形式主义来研究缺陷共形场理论中的相关函数，其中大量插入了体和缺陷场。该形式主义被用于构造用于标量场的三点函数的缺陷保形块。从具有一个整体和一个缺陷场的配置开始，其相关函数由共形对称性确定，我们探索两种可能性，添加一个额外的缺陷或整体场。在两种情况下，都可以用经典的超几何函数来表示块，尽管两个体和一个缺陷场的情况需要Appell函数F ₄。