论文标题

6d $ \ Mathcal {n} =(2,0)$理论中的缺陷CFT技术

Defect CFT techniques in the 6d $\mathcal{N} = (2,0)$ theory

论文作者

Drukker, Nadav, Probst, Malte, Trépanier, Maxime

论文摘要

表面运算符是6D $ \ MATHCAL {n} =(2,0)$理论的最重要的可观察物之一。在这里,我们应用缺陷CFT的工具来研究本地操作员插入1/2-BPS平面。我们首先将位移运算符的2分函数与散装应力张量的期望值联系起来,并将此关系转化为对与缺陷相关的异常系数的约束。其次,我们研究了应力张量多重的缺陷操作员的扩展,并识别出缺陷CFT的几个新操作员。途中得出的技术结果包括应力张量多重组的显式超对称性变形以及缺陷保留的超符号代数的单一表示的分类。

Surface operators are among the most important observables of the 6d $\mathcal{N} = (2,0)$ theory. Here we apply the tools of defect CFT to study local operator insertions into the 1/2-BPS plane. We first relate the 2-point function of the displacement operator to the expectation value of the bulk stress tensor and translate this relation into a constraint on the anomaly coefficients associated with the defect. Secondly, we study the defect operator expansion of the stress tensor multiplet and identify several new operators of the defect CFT. Technical results derived along the way include the explicit supersymmetry tranformations of the stress tensor multiplet and the classification of unitary representations of the superconformal algebra preserved by the defect.

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