24–30 Jul 2016
Highfield Campus, University of Southampton
Europe/London timezone

S-duality in lattice N=4 super Yang-Mills

26 Jul 2016, 16:50
20m
Building 67 Room 1027 (Highfield Campus, University of Southampton)

Building 67 Room 1027

Highfield Campus, University of Southampton

Talk Physics Beyond the Standard Model Physics Beyond the Standard Model

Speaker

Prof. Joel Giedt (Rensselaer Polytechnic Institute)

Description

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.

Primary authors

David Schaich (Syracuse University) Prof. Joel Giedt (Rensselaer Polytechnic Institute) Dr Poul Damgaard (Neils Bohr Institute) Prof. Simon Catterall (Syracuse University)

Presentation materials