论文标题
ABJM Wilson线的分析引导和Witten图作为缺陷CFT $ _1 $
Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT$_1$
论文作者
论文摘要
我们在ABJM理论中研究本地操作员插入1/2-BPS线缺陷。具体来说，我们考虑了CFT $ _1 $中的一类四点相关器，其中SU $（1，1 | 3）$超级符号对称性在1/2-BPS Wilson线上定义。相关的插入属于包含位移操作员的简短超级插入，并对应于ADS $ _4 \ times \ times \ Mathbb {c} \ textrm {p}^3 $结束在边界上的线上。我们使用超空间技术来表示位移超级植物，并表明超符号对称性根据一维交叉比例的单个函数来确定其组件的四点相关器。这种功能受到交叉和内部一致性的高度限制，使我们能够使用分析性的自举方法在强耦合下找到第一个跨胶结校正。最后，我们使用广告/CFT通过树级广告$ _2 $ WITTEN图来计算相同的四点功能，从而产生与Bootstrap解决方案完全一致的结果。
We study local operator insertions on 1/2-BPS line defects in ABJM theory. Specifically, we consider a class of four-point correlators in the CFT$_1$ with SU$(1, 1|3)$ superconformal symmetry defined on the 1/2-BPS Wilson line. The relevant insertions belong to the short supermultiplet containing the displacement operator and correspond to fluctuations of the dual fundamental string in AdS$_4 \times \mathbb{C}\textrm{P}^3$ ending on the line at the boundary. We use superspace techniques to represent the displacement supermultiplet and we show that superconformal symmetry determines the four-point correlators of its components in terms of a single function of the one-dimensional cross-ratio. Such function is highly constrained by crossing and internal consistency, allowing us to use an analytical bootstrap approach to find the first subleading correction at strong coupling. Finally, we use AdS/CFT to compute the same four-point functions through tree-level AdS$_2$ Witten diagrams, producing a result that is perfectly consistent with the bootstrap solution.
