Perturbative bootstrap of the Wilson-line defect CFT: Multipoint correlators
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911366604914688 |
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| author | Artico, Daniele Barrat, Julien Peveri, Giulia |
| author_facet | Artico, Daniele Barrat, Julien Peveri, Giulia |
| contents | 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 $\langle 1212 \rangle$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08271 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perturbative bootstrap of the Wilson-line defect CFT: Multipoint correlators Artico, Daniele Barrat, Julien Peveri, Giulia High Energy Physics - Theory 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 $\langle 1212 \rangle$. |
| title | Perturbative bootstrap of the Wilson-line defect CFT: Multipoint correlators |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.08271 |