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We show how to derive the supersymmetric orbifold lattices of Cohen et al.
- \cite{Cohen:2003xe,Cohen:2003qw} and Kaplan et al.
- \cite{Kaplan:2005ta} by direct discretization of an appropriate twisted supersymmetric Yang-Mills theory.
- We examine in detail the four supercharge two dimensional theory and the theory with sixteen supercharges in four dimensions.
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