The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details

Understand

We compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory.

• Our result turns out to be in exact agreement with the weak coupling limit of the prediction coming from localization, including finite N contributions associated to non-planar diagrams.
• It also confirms the identification of the correct framing factor that connects framing-zero and framing-one expressions, previously proposed.
• The evaluation of the 1/2 BPS operator is made technically difficult in comparison with other observables of ABJ(M) theory by the appearance of integrals involving the coupling between fermions and gauge fields, which are absent for instance in the 1/6 BPS case.