### Abstract

Correlators of local operators inserted on a straight or circular Wilson loop in a conformal gauge theory have the structure of a one-dimensional “defect” CFT. As was shown in arXiv:1706.00756, in the case of supersymmetric Wilson-Maldacena loop in N= 4 SYM one can compute the leading strong-coupling contributions to 4-point correlators of the simplest “protected” operators by starting with the AdS_{5} × S^{5} string action expanded near the AdS_{2} minimal surface and evaluating the corresponding tree-level AdS_{2} Witten diagrams. Here we perform the analogous computations in the non-supersymmetric case of the standard Wilson loop with no coupling to the scalars. The corresponding non-supersymmetric “defect” CFT_{1} should have an unbroken SO(6) global symmetry. The elementary bosonic operators (6 SYM scalars and 3 components of the SYM field strength) are dual respectively to the S^{5} embedding coordinates and AdS_{5} coordinates transverse to the minimal surface ending on the line at the boundary. The SO(6) symmetry is preserved on the string side provided the 5-sphere coordinates satisfy Neumann boundary conditions (as opposed to Dirichlet in the supersymmetric case); this implies that one should integrate over the S^{5} expansion point. The massless S^{5} fluctuations then have logarithmic propagator, corresponding to the boundary scalar operator having dimension Δ=5λ+… at strong coupling. The resulting functions of 1d cross-ratio appearing in the 4-point functions turn out to have a more complicated structure than in the supersymmetric case, involving polylog (Li_{3} and Li_{2}) functions. We also discuss consistency with the operator product expansion which allows extracting the leading strong coupling corrections to the anomalous dimensions of the operators appearing in the intermediate channels.

Original language | English (US) |
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Article number | 122 |

Journal | Journal of High Energy Physics |

Volume | 2019 |

Issue number | 5 |

DOIs | |

State | Published - May 1 2019 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- AdS-CFT Correspondence
- Conformal Field Theory

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## Cite this

_{2}/CFT

_{1}.

*Journal of High Energy Physics*,

*2019*(5), [122]. https://doi.org/10.1007/JHEP05(2019)122