HalfBPS Wilson loop and AdS_{2}/CFT_{1}
Abstract
We study correlation functions of local operator insertions on the 1/2BPS Wilson line in N = 4 super YangMills theory. These correlation functions are constrained by the 1d superconformal symmetry preserved by the 1/2BPS Wilson line and define a defect CFT_{1} living on the line. At strong coupling, a set of elementary operator insertions with protected scaling dimensions correspond to fluctuations of the dual fundamental string in AdS^{5}×S^{5} ending on the line at the boundary and can be thought of as light fields propagating on the AdS_{2} worldsheet. We use AdS/CFT techniques to compute the treelevel AdS_{2} Witten diagrams describing the strong coupling limit of the fourpoint functions of the dual operator insertions. Using the OPE, we also extract the leading strong coupling corrections to the anomalous dimensions of the "twoparticle" operators built out of elementary excitations. In the case of the circular Wilson loop, we match our results for the 4point functions of a special type of scalar insertions to the prediction of localization to 2d YangMills theory.
 Publication:

Nuclear Physics B
 Pub Date:
 September 2017
 DOI:
 10.1016/j.nuclphysb.2017.07.004
 arXiv:
 arXiv:1706.00756
 Bibcode:
 2017NuPhB.922..499G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 29 pages, 2 figures. v5: typos corrected