AaDAG seminar by James Sparks (Oxford)

Abstract: In this talk I will describe a construction which combines topological quantum field theory (TQFT) with the AdS/CFT correspondence. Specifically, I show how Witten's topological twist'' may be implemented on a class of asymptotically locally hyperbolic solutions to a certain supergravity theory in five dimensions. In principle the resulting theory computes 4-manifold invariants of the conformal boundary. I describe some first steps in this direction, by showing that the renormalized supergravity action is independent of the choice of boundary metric (as required of a topological theory).