### Abstract

We study correlation functions of local operator insertions on the 1/2-BPS Wilson line in N=4 super Yang–Mills theory. These correlation functions are constrained by the 1d superconformal symmetry preserved by the 1/2-BPS 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×5S^{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 tree-level AdS_{2} Witten diagrams describing the strong coupling limit of the four-point functions of the dual operator insertions. Using the OPE, we also extract the leading strong coupling corrections to the anomalous dimensions of the “two-particle” operators built out of elementary excitations. In the case of the circular Wilson loop, we match our results for the 4-point functions of a special type of scalar insertions to the prediction of localization to 2d Yang–Mills theory.

Original language | English (US) |
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Pages (from-to) | 499-527 |

Number of pages | 29 |

Journal | Nuclear Physics B |

Volume | 922 |

DOIs | |

State | Published - Sep 2017 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

_{2}/CFT

_{1}.

*Nuclear Physics B*,

*922*, 499-527. https://doi.org/10.1016/j.nuclphysb.2017.07.004