标题： 四维超共形线上的全局对称性和积分约束 显示英文标题

标题： Global Symmetry and Integral Constraint on Superconformal Lines in Four Dimensions

摘要： 我们研究在四维${\cal N} = 2$场论中保持味对称性和超对称性的点状杂质的性质。 在大距离下，这样的杂质由半BPS共形线缺陷描述。 通过在$\text{AdS}_2\times \text{S}^2$共形框架中工作，我们开发了一种新颖且更简单的方法，用于推导在缺陷存在时，味电流多重态算符的各种两点函数之间的超共形Ward恒等式。 我们利用这些关系来简化某种味电流多重态算符的积分两点函数，在拉格朗日理论中，可以使用超对称局部化来计算该函数。 这种简化给出了在$\text{AdS}_2\times \text{S}^2$共形框架中，味电流多重态超共形原初算符的两点函数的一个积分约束，其积分测度为平凡的。 我们对Ward恒等式进行了几个一致性检查。 显示英文摘要

摘要： We study properties of point-like impurities preserving flavor symmetry and supersymmetry in four-dimensional ${\cal N} = 2$ field theories. At large distances, such impurities are described by half-BPS superconformal line defects. By working in the $\text{AdS}_2\times \text{S}^2$ conformal frame, we develop a novel and simpler way of deriving the superconformal Ward identities relating the various two-point functions of flavor current multiplet operators in the presence of the defect. We use these relations to simplify a certain integrated two-point function of flavor current multiplet operators that, in Lagrangian theories, can be computed using supersymmetric localization. The simplification gives an integral constraint on the two-point function of the flavor current multiplet superconformal primary with trivial integration measure in the $\text{AdS}_2\times \text{S}^2$ conformal frame. We provide several consistency checks on our Ward identities.