ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections

Abstract

We consider the Bremsstrahlung function associated to a 1/6-BPS Wilson loop in ABJM theory, with a cusp in the couplings to scalar fields. We non-trivially extend its recent four-loop computation at weak coupling to include non-planar corrections. We have recently proposed a conjecture relating this object to supersymmetric circular Wilson loops with multiple windings, which can be computed via localization. We find agreement between this proposal and the perturbative computation of the Bremsstrahlung function, including color sub-leading corrections. This supports the conjecture and hints at its validity beyond the planar approximation.

arXiv comment22 pages

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Cited by in corpus (9)

• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Exact Bremsstrahlung functions in ABJM theory
• The Bremsstrahlung function of $\mathcal{N}=2$ SCQCD
• A matrix model for the latitude Wilson loop in ABJM theory
• On three-point functions in ABJM and the latitude Wilson loop
• 1/3 BPS loops and defect CFTs in ABJM theory
• Four-loop QCD cusp anomalous dimension at small angle
• Four-loop HQET propagators from the DRA method
• Interpolating Bremsstrahlung function in ABJM