Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT1
Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT1
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DOI：
10.1007/jhep08(2020)143
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发表时间：
2020-04
影响因子：
5.4
通讯作者：
L. Bianchi;Gabriel Bliard;V. Forini;L. Griguolo;D. Seminara
中科院分区：
文献类型：
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作者：
L. Bianchi;Gabriel Bliard;V. Forini;L. Griguolo;D. Seminara
在ABJM理论中，我们研究了1/2-BPS线缺陷的局域算符插入问题。具体地说，我们考虑了定义在1/2-BPS-Wilson线上的一类具有SU(1，1|3)超共形对称性的四点相关器。相关的插入物属于包含位移算符的短超乘子，并且对应于ADS4×ℂP3中结束于边界上的直线上的对偶基本弦的涨落。我们用超空间技术来表示位移超多重态，我们证明了超共形对称性通过一维交叉比的单一函数来决定其分量的四点关联子。这种函数受到交叉和内部一致性的高度限制，允许我们使用解析自举方法来寻找强耦合处的第一次次偏移校正。最后，我们使用ADS/CFT通过树级ADS 2 Witten图计算了相同的四点函数，得到了与Bootstrap解完全一致的结果。
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) super-conformal 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× ℂP 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.