Abstract
We study a family of circular BPS Wilson loops in \( \mathcal{N} \) = 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 \( \mathcal{N} \) = 4 SYM. We perform a complete two-loop analysis of their vacuum expectation value, discuss the appearance of framing-like phases 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.
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Bianchi, M.S., Griguolo, L., Leoni, M. et al. BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis. J. High Energ. Phys. 2014, 123 (2014). https://doi.org/10.1007/JHEP06(2014)123
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DOI: https://doi.org/10.1007/JHEP06(2014)123