Abstract
We construct the d=2 Wess-Zumino model and the d=4N=2 supersymmetric gauge theory on the lattice, in the hamiltonian formalism. The models have the correct tree level continuum limit. Using the Kähler-Dirac formalism, we show that on the lattice a full cubic symmetry is preserved. A strong coupling calculation shows the possibility of spontaneous breaking of supersymmetry for the d=2 model.
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