't Hooft Operators in the Boundary

Details 't Hooft Operators in the Boundary 't Hooft Operators in the Boundary

2011-09-12

arxiv.org/abs/1109.2393v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

We consider a topologically twisted maximally supersymmetric Yang-Mills theory on a four-manifold of the form $V = W \times {\mathbb R}_+$. '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.

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