Supersymmetry on a Spatial Lattice
David B. Kaplan, Emanuel Katz, Mithat Unsal
TL;DR
This paper develops lattice formulations of supersymmetric gauge theories, including N=4 super Yang-Mills, demonstrating that exact lattice supersymmetry simplifies the continuum limit process.
Contribution
It introduces methods to construct supersymmetric gauge theories on a lattice with exact supersymmetry, reducing fine-tuning requirements.
Findings
Successful lattice construction of N=4 super Yang-Mills theory.
Exact lattice supersymmetry minimizes fine-tuning.
Potential for nonperturbative studies of supersymmetric theories.
Abstract
We construct a variety of supersymmetric gauge theories on a spatial lattice, including N=4 supersymmetric Yang-Mills theory in 3+1 dimensions. Exact lattice supersymmetry greatly reduces or eliminates the need for fine tuning to arrive at the desired continuum limit in these examples.
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