BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis

Abstract

We study a family of circular BPS Wilson loops in N=6 super Chern-Simons-matter theories, generalizing the usual 1/2-BPS circle. The scalar and fermionic couplings depend on two deformation parameters and these operators can be considered as the ABJ(M) counterpart of the DGRT latitudes defined in N=4 SYM. We perform a complete two-loop analysis of their vacuum expectation value, discuss the framing dependence and propose a general relation with cohomologically equivalent bosonic operators. We make an all-loop proposal for computing the Bremsstrahlung function associated to the 1/2-BPS cusp in terms of these generalized Wilson loops. When applied to our two-loop result it reproduces the known expression. Finally, we comment on the generalization of this proposal to the bosonic 1/6-BPS case.

46 pages, 6 figures; references added

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Cited by in corpus (6)

• Two-loop cusp anomaly in ABJM at strong coupling
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
• Correlators of chiral primaries and 1/8 BPS Wilson loops from perturbation theory
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory