4.4 Article

The Wilson loop - large spin OPE dictionary

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP07(2022)079

Keywords

Scale and Conformal Symmetries; Wilson; 't Hooft and Polyakov loops; AdS-CFT Correspondence; Supersymmetric Gauge Theory

Funding

  1. Government of Canada through NSERC
  2. Province of Ontario through MRI
  3. Simons Foundation [488661, 488637]
  4. ICTP-SAIFR FAPESP grant [2016/01343-7]
  5. FAPESP [2017/03303-1]
  6. Sao Paulo Research Foundation (FAPESP) [2018/25180-5, 2019/24277-8]
  7. Fundacao para a Ciencia e a Tecnologia (FCT) [UID04650-FCUP]

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By mapping the variables describing different physical quantities and calculating the normalization factors, the study demonstrates the correspondence between null polygonal hexagonal Wilson loops and spinning three point functions, providing a basis for further exploration of the dynamics underlying these dualities.
We work out the map between null polygonal hexagonal Wilson loops and spinning three point functions in large N conformal gauge theories by mapping the variables describing the two different physical quantities and by working out the precise normalization factors entering this duality. By fixing all the kinematics we open the ground for a precise study of the dynamics underlying these dualities - most notably through integrability in the case of planar maximally supersymmetric Yang-Mills theory.

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