Lattice N=4 three-dimensional super-Yang-Mills
High Energy Physics - Lattice
2018-11-05 v2 High Energy Physics - Theory
Abstract
We describe our recent work on the lattice formulation of N=4 three-dimensional super-Yang-Mills. Our formulation was based on the Donaldson-Witten twist, but we have also been studying the formulation based on the Blau-Thompson twist by Joseph. We find in the latter case there is a single counterterm necessary to restore supersymmetry in the continuum limit, and that this counterterm can be computed with a two-loop calculation in lattice perturbation theory. It is crucial that this three-dimensional model is super-renormalizable. We also describe some of the motivations for studying three-dimensional theories, including mirror symmetry and holographic cosmology.
Cite
@article{arxiv.1811.00516,
title = {Lattice N=4 three-dimensional super-Yang-Mills},
author = {Joel Giedt and Arthur Lipstein and Paul Martin},
journal= {arXiv preprint arXiv:1811.00516},
year = {2018}
}
Comments
Proceedings for Lattice 2018