Abstract

In N = 4 super Yang-Mills theory on a four-manifold M, one can specify a discrete magnetic flux valued in H2 (M,ZN). This flux is encoded in the AdS/CFT correspondence in terms of a five-dimensional topological field theory with Chern-Simons action. A similar topological field theory in seven dimensions governs the space of “conformal blocks ” of the six-dimensional (0, 2) conformal field theory. December