2013/12/10 by Marmiroli, Daniele
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1312.2972
We introduce a new purely bosonic, (1)/(6) BPS Wilson loop for ABJM theory on S3 that couples scalar fields to a latitude at an angle θ on S2∈ℂP3. Through localization of this operator, we relate the expansion of the cusp anomalous dimension at small cusp angles to the logarithmic derivative of the ABJM Wilson loop. This defines, non-perturbatively in the 't Hooft coupling, the bremsstrahlung function B(λ) describing in three dimensions the soft radiation of a W-boson undergoing a sudden change in trajectory. We compare our results for B(λ) to the known weak/strong coupling expansions of the function h(λ) that enters integrability. At weak coupling we precisely match the previously known two-loop result. At strong coupling we find agreement at leading order in √λ, but a mismatch of the constant coefficient. We comment on the striking similarity that we observe between these two, in principle, unrelated functions.