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arXiv · 1402.4128

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

Marco S. Bianchi·Luca Griguolo·Matias Leoni·Silvia Penati·Domenico Seminara
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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.

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Marco S. Bianchi, Luca Griguolo, Matias Leoni, Silvia Penati, Domenico Seminara. 2014-03-11. BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis. https://doi.org/10.1007/jhep06(2014)123

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