30 March 2016 to 22 April 2016
Nordita, Stockholm
Europe/Stockholm timezone

Lattice N=4 Super-Yang-Mills and S-duality

15 Apr 2016, 10:15
1h
AlbaNova, FD5 (Nordita, Stockholm)

AlbaNova, FD5

Nordita, Stockholm

Speaker

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. We describe this lattice theory and the various studies we have performed in order to understand its renormalization. A discrete subgroup of the R-symmetry has been used to identify the supersymmetric continuum limit, and we have performed nonpertubative numerical tests of it. In terms of applications, 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 Georgi-Glashow model 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.

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