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Volume 334 - The 36th Annual International Symposium on Lattice Field Theory (LATTICE2018) - Theoretical Developments
Lattice ${\cal N}=4$ three-dimensional super-Yang-Mills
J. Giedt,* A. Lipstein, P. Martin
*corresponding author
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Published on: 2019 May 29
We describe our recent work on the lattice formulation of ${\cal N}=4$ 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.
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