ABJM $\theta$-Bremsstrahlung at four loops and beyond

Abstract

In ABJ(M) theory a generalized cusp can be constructed out of the 1/6 BPS Wilson line by introducing an angle $\phi$ in the spacial contour and/or an angle $\theta$ in the internal R-symmetry space. The small angles limits of its anomalous dimension are controlled by corresponding Bremsstrahlung functions. In this note we compute the internal space $\theta$-Bremsstrahlung function to four loops at weak coupling in the planar limit. Based on this result, we propose an all order conjecture for the $\theta$-Bremsstrahlung function.

arXiv comment40 pages; v2: references added, JHEP published extended version

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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
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• 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