We examine the link approach to constructing a lattice theory of N=2 super Yang Mills theory in two dimensions. The goal of this construction is to provide a discretization of the continuum theory which preserves all supersymmetries at non-zero lattice spacing. We show that this approach suffers from an inconsistency and argue that a maximum of just one of the supersymmetries can be implemented on the lattice.
Catterall, Simon; Bruckmann, Falk; and de Kok, Mark, "A Critique of the Link Approach to Exact Lattice Supersymmetry" (2006). Physics. Paper 453.
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