论文标题
损坏的全球对称性和缺陷保形歧管
Broken global symmetries and defect conformal manifolds
论文作者
论文摘要
正如边缘运算符确切地允许沿着称为保形的歧管的理论空间变形，在保形缺损方面适当的算子允许缺陷的变形。当缺陷打破全局对称性时，在保护方程式中有一个触点术语，具有恰好边缘缺陷操作员。所得的缺陷共形歧管是对称性断裂库，其Zamolodchikov公制表示为精确边缘运算符的2分函数。由于共形歧管上的riemann张量可以表示为边缘运算符的集成4点函数，因此我们发现与coset空间的曲率有一个确切的关系。我们确认了以前获得的4分函数的关系，以插入$ {\ cal n} = 4 $ sym和3d $ {\ cal n} = 6 $理论和1/2 bps的表面运算符和6d $ {\ cal n} =（\ cal n} =（2，0）$理论的1/2 bps wilson循环。
Just as exactly marginal operators allow to deform a conformal field theory along the space of theories known as the conformal manifold, appropriate operators on conformal defects allow for deformations of the defects. When a defect breaks a global symmetry, there is a contact term in the conservation equation with an exactly marginal defect operator. The resulting defect conformal manifold is the symmetry breaking coset and its Zamolodchikov metric is expressed as the 2-point function of the exactly marginal operator. As the Riemann tensor on the conformal manifold can be expressed as an integrated 4-point function of the marginal operators, we find an exact relation to the curvature of the coset space. We confirm this relation against previously obtained 4-point functions for insertions into the 1/2 BPS Wilson loop in ${\cal N} = 4$ SYM and 3d ${\cal N} = 6$ theory and the 1/2 BPS surface operator of the 6d ${\cal N} = (2, 0)$ theory.
