Smooth Wilson Loops in N=4 Non-Chiral Superspace

Understand

We consider a supersymmetric Wilson loop operator for 4d N=4 super Yang-Mills theory which is the natural object dual to the AdS_5 x S^5 superstring in the AdS/CFT correspondence.

• It generalizes the traditional bosonic 1/2 BPS Maldacena-Wilson loop operator and completes recent constructions in the literature to smooth (non-light-like) loops in the full N=4 non-chiral superspace.
• This Wilson loop operator enjoys global superconformal and local kappa-symmetry of which a detailed discussion is given.
• Moreover, the finiteness of its vacuum expectation value is proven at leading order in perturbation theory.