The generalized Wilson loop operator interpolating between the supersymmetric and the ordinary Wilson loop in
Higher order RG flow on the Wilson line in $$ \mathcal{N} $$ = 4 SYM
A bstract Extending earlier work, we find the twoloop term in the betafunction for the scalar coupling ζ in a generalized Wilson loop operator of the $$ \mathcal{N} $$ N = 4 SYM theory, working in the planar weakcoupling expansion. The betafunction for ζ has fixed points at ζ = ±1 and ζ = 0, corresponding respectively to the supersymmetric WilsonMaldacena loop and to the standard Wilson loop without scalar coupling. As a consequence of our result for the betafunction, we obtain a prediction for the twoloop term in the anomalous dimension of the scalar field inserted on the standard Wilson loop. We also find a subset of higherloop contributions (with highest powers of ζ at each order in ‘t Hooft coupling λ ) coming from the scalar ladder graphs determining the corresponding terms in the fiveloop betafunction. We discuss the related structure of the circular Wilson loop expectation value commenting, in particular, on consistency with a 1d defect version of the Ftheorem. We also compute (to two loops in the planar ladder model approximation) the twopoint correlators of scalars inserted on the Wilson line.
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 Award ID(s):
 1914860
 NSFPAR ID:
 10380980
 Date Published:
 Journal Name:
 Journal of High Energy Physics
 Volume:
 2022
 Issue:
 1
 ISSN:
 10298479
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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