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Progress in four-dimensional lattice supersymmetry
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We are entering an era where a number of large-scale lattice simulations of four-dimensional supersymmetric theories are under way. Moreover, proposals for how to approach such studies continue to progress. One particular line of research in this direction is described here. General actions for super-QCD, including counterterms required on the lattice, are given. We obtain the number of fine-tunings that is required, once gauge and flavor symmetries are accounted for, provided Ginsparg-Wilson fermions are used for the gauginos. We also review and extend our recent work on lattice formulations of N=4 super-Yang-Mills and N=1 super-Yang-Mills that exploit Ginsparg-Wilson fermions.
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N=1 Supersymmetric QCD on the lattice using overlap fermions
A chirally symmetric overlap lattice action for N=1 SQCD is constructed by introducing auxiliary fermion fields that are integrated out, yielding new ultralocal interaction terms.
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