Prof. Joel Giedt (Rensselaer Polytechnic Institute)
Formulations of lattice supersymmetry over the last decade have been able to significantly reduce the amount of fine-tuning necessary in order to obtain the correct continuum limit. In the case of N=4 super Yang-Mills, the approach that has emerged as the best path forward is based on a topological twisting of the theory. Montonen and Olive found evidence that a duality could exist in Yang-Mills with adjoint scalars. In this scheme, the 't Hooft-Polyakov monopole is dual to the W boson,leading to a theory equivalent to the original one, but with magnetic charge replacing electric charge. The duality is believed to be realized in N=4 super-Yang-Mills. We are pursuing numerical, nonperturbative evidence for this S-duality using our lattice formulation. The various tricks that are necessary for doing this will be described.
David Schaich (Syracuse University) Prof. Joel Giedt (Rensselaer Polytechnic Institute) Dr Poul Damgaard (Neils Bohr Institute) Prof. Simon Catterall (Syracuse University)