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arXiv · 2410.08271

Perturbative bootstrap of the Wilson-line defect CFT: Multipoint correlators

Daniele Artico·Julien Barrat·Giulia Peveri
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Abstract

We study the defect CFT associated with the half-BPS Wilson line in $\mathcal{N}=4$ Super Yang-Mills theory in four dimensions. Using a perturbative bootstrap approach, we derive new analytical results for multipoint correlators of protected defect operators at large $N$ and weak coupling. At next-to-next-to-leading order, we demonstrate that the simplest five- and six-point functions are fully determined by non-perturbative constraints -- which include superconformal symmetry, crossing symmetry, and the pinching of operators to lower-point functions -- as well as by a single integral, known as the train track integral. Additionally, we present new analytical results for the four-point functions $\langle 1122 \rangle$ and $\langle 1212 \rangle$.

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Daniele Artico, Julien Barrat, Giulia Peveri. 2024-10-10. Perturbative bootstrap of the Wilson-line defect CFT: Multipoint correlators. https://arxiv.org/abs/2410.08271

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