论文标题
在不同维度中对超符合缺陷进行分类
Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
论文作者
论文摘要
我们启动在各个时空维度的统一超符号字段理论（SCFT）中的单一超符号缺陷的分类$ 3 \ leq d \ leq 6 $。我们的方法探索了从缺陷超符号对称性，单位性以及局部散装缺陷耦合的一致性条件的一般约束。这些特征对于所有超符号缺陷都常见，而不管有任何拉格朗日描述如何。特别是，在缺陷的存在下，保守电流的修改后的病房身份会在缺陷WorldVolume上引起一组杰出的保形主要算子，其中包括与横向与缺陷的破裂翻译相关的通用位移操作员。与保留的超符号对称性和单位性的一致性要求将此类操作员安排为缺陷超符号代数的单位性多重，这反过来又导致在给定的SCFT中可以接受哪些缺陷的非平凡约束。我们针对一维缺陷（即超级符号线路）明确进行分析，并将更高维缺陷的研究留在即将进行的工作中。我们还评论了我们结果对SCFT中超符号线和单一形式对称性的变形的含义。
We initiate the classification of unitary superconformal defects in unitary superconformal field theories (SCFT) of diverse spacetime dimensions $3\leq d \leq 6$. Our method explores general constraints from the defect superconformal symmetry, unitarity, as well as consistency conditions of local bulk-defect couplings. Such features are common to all superconformal defects regardless of any Lagrangian description. In particular, modified Ward identities of conserved currents in the presence of the defect induce a distinguished set of conformal primary operators on the defect worldvolume, which includes the universal displacement operator associated with broken translations transverse to the defect. Consistency with the preserved superconformal symmetry and unitarity requires that such operators arrange into unitarity multiplets of the defect superconformal algebra, which in turn leads to nontrivial constraints on what kinds of defects are admissible in a given SCFT. We carry out the analysis explicitly for one-dimensional defects, namely superconformal lines, and leave the study of higher dimensional defects to forthcoming work. We also comment on the implications of our results for the deformations of superconformal lines and one-form symmetries in SCFTs.
