Supersymmetry on a Euclidean Spacetime Lattice II: Theories with Eight Supercharges
Andrew G. Cohen, David B. Kaplan, Emanuel Katz, Mithat Unsal
TL;DR
This paper develops Euclidean lattice formulations for supersymmetric Yang-Mills theories with eight supercharges, ensuring the lattice actions preserve supersymmetry and correctly reproduce continuum theories in two and three dimensions.
Contribution
It introduces lattice actions that are inherently supersymmetric, enabling nonperturbative studies of these theories while maintaining supersymmetry at finite lattice spacing.
Findings
Lattice actions preserve supersymmetry exactly.
Continuum limits recover supersymmetric Yang-Mills theories.
Applicable to theories with eight supercharges in 2D and 3D.
Abstract
We formulate Euclidean spacetime lattices whose continuum limits are supersymmetric Yang-Mills theories with eight supercharges in two and three dimensions. The lattice actions are themselves supersymmetric.
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