’t Hooft Operators in the Boundary

We consider a topologically twisted maximally supersymmetric Yang-Mills theory on a four-manifold of the form V = W × R+. ’t Hooft disorder operators localized in the boundary component at finite distance of V are relevant for the study of knot theory on the three-manifold W, and have recently been constructed for a gauge group of rank one. We extend this construction to an arbitrary gauge group G. For certain values of the magnetic charge of the ’t Hooft operator, the solutions are obtained by embedding the rank one solutions in G and can be given in closed form. ar X i