From Twisted Supersymmetry to Orbifold Lattices

Abstract

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. The continuum limit of the latter theory is the well known Marcus twist of $\mathcal{N}=4$ Yang-Mills. The lattice models are gauge invariant and possess one exact supersymmetry at non-zero lattice spacing.

15 pages

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• Testing holography using lattice super-Yang--Mills on a 2-torus
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• A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills
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• First results from simulations of supersymmetric lattices
• Supersymmetry Breaking in Low Dimensional Models
• Twisted supersymmetries in lattice $\mathcal{N}=4$ super Yang-Mills theory
• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Phase Structure of Lattice N=4 Super Yang-Mills
• Supersymmetric nonperturbative formulation of the WZ model in lower dimensions
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• An object oriented code for simulating supersymmetric Yang--Mills theories
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• Nonperturbative study of dynamical SUSY breaking in $\mathcal{N}=(2,2)$ Yang-Mills
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• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Vafa-Witten Theory on N=2 and N=4 Twisted Superspace in Four Dimensions
• 3d N=4 Super-Yang-Mills on a Lattice
• A Euclidean Lattice Formulation of D=5 Maximally Supersymmetric Yang-Mills Theory
• On the removal of the trace mode in lattice $\mathcal{N}=4$ super Yang-Mills theory
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• Three dimensional lattice gravity as supersymmetric Yang-Mills theory
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