Three Dimensional N=2 Supersymmetry on the Lattice
Joshua W. Elliott, Guy D. Moore (McGill University)
TL;DR
This paper demonstrates a method to discretize 3D N=2 supersymmetric theories, including super QCD, on the lattice, ensuring supersymmetry is recovered as the lattice spacing approaches zero.
Contribution
It introduces a lattice formulation for 3D N=2 supersymmetric theories that preserves supersymmetry in the continuum limit using existing techniques.
Findings
Supersymmetry breaking effects are suppressed by at least one power of the lattice spacing.
The approach applies to super QCD with matter fields.
Supersymmetry is recovered in the small lattice spacing limit.
Abstract
We show how 3-dimensional, N=2 supersymmetric theories, including super QCD with matter fields, can be put on the lattice with existing techniques, in a way which will recover supersymmetry in the small lattice spacing limit. Residual supersymmetry breaking effects are suppressed in the small lattice spacing limit by at least one power of the lattice spacing a.
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