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Correlation functions on the Half-BPS Wilson loop: perturbation and hexagonalization

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2]
  1. Univ. of Tokyo (Japan). Inst. of Physics; Institute for Advanced Study
  2. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
+ Show Author Affiliations
We compute correlation functions of protected primaries on the 1/2-BPS Wilson loop in N=4 super Yang-Mills theory at weak coupling. We first perform direct perturbative computation at one loop in the planar limit and present explicit formulae for general two-, three- and four-point functions. The results for two- and three-point functions as well as four-point functions in special kinematics are in perfect agreement with the localization computation performed in arXiv:1802.05201 . We then analyze the results in view of the integrability-based approach called “hexagonalization”, which was introduced previously to study the correlation functions in the absence of the Wilson loop. In this approach, one decomposes the correlator into fundamental building blocks called “hexagons”, and glues them back together by summing over the intermediate states. Through the comparison, we conjecture that the correlation functions on the Wilson loop can be computed by contracting hexagons with boundary states, where each boundary state represents a segment of the Wilson loop. As a byproduct, we make predictions for the large-charge asymptotics of the structure constants on the Wilson loop. Along the way, we refine the conjecture for the integrability-based approach to the general non-BPS structure constants on the Wilson loop, proposed originally in arXiv:1706.02989 .
Research Organization:
Inst. for Advanced Study, Princeton, NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Organization:
Perimeter Institute for Theoretical Physics
Grant/Contract Number:
SC0009988
OSTI ID:
1596662
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2019; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (1)

Correlators on non-supersymmetric Wilson line in $$ \mathcal{N}=4 $$ SYM and AdS2/CFT1 journal May 2019

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1/N Expansion
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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