Abstract
We consider topologically twisted supersymmetric Yang-Mills theory on a four-manifold of the form or , where is a Riemannian three-manifold. Different kinds of boundary conditions apply at infinity or at finite distance. We verify that each of these conditions defines a “middle-dimensional” subspace of the space of all bulk solutions. Taking the two boundaries of into account should thus generically give a discrete set of solutions. We explicitly find the spherically symmetric solutions when endowed with the standard metric. For widely separated boundaries, these consist of a pair of solutions which coincide for a certain critical value of the boundary separation and disappear for even smaller separations.
- Received 5 June 2012
DOI:https://doi.org/10.1103/PhysRevD.86.085003
© 2012 American Physical Society