Preprint PUBDB-2024-06238

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

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2024

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Report No.: DESY-24-165; HU-EP-24/28-RTG; arXiv:2410.08271

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 $\langle 1212 \rangle$.


Note: 51 pages, 3 figures, 3 tables

Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. BrokenSymmetries - Exact Results from Broken Symmetries (101044226) (101044226)
  3. DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2024
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http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;
Perturbative bootstrap of the Wilson-line defect CFT: multipoint correlators
Journal of high energy physics 02(2), 190 () [10.1007/JHEP02(2025)190]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2024-10-09, last modified 2025-04-06