Boundary conditions for GL-twisted N=4 SYM

Understand

We consider topologically twisted N=4 supersymmetric Yang-Mills theory on a four-manifold of the form V = W \times R_+ or V = W \times I, where W 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 V into account should thus generically give a discrete set of solutions.