Classification of Supersymmetric Lattice Gauge Theories by Orbifolding

Abstract

We provide a general classification of supersymmetric lattice gauge theories that can be obtained from orbifolding of theories with four and eight supercharges. We impose at least one preserved supercharge on the lattice and Lorentz invariance in the naive continuum limit. Starting with four supercharges, we obtain one two-dimensional lattice gauge theory, identical to the one already given in the literature. Starting with eight supercharges, we obtain a unique three-dimensional lattice gauge theory and infinitely many two-dimensional lattice theories. They can be classified according to seven distinct groups, five of which have two preserved supercharges while the others have only one.

30 pages, 8 figures, LaTeX2e, typos corrected, added discussion about supersymmetry transformations

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Cited by in corpus (20)

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• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
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• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Lattice Supersymmetry: Equivalence between the Link Approach and Orbifolding
• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Two-dimensional N=(2,2) Supersymmetric Lattice Gauge Theory with Matter Fields in the Fundamental Representation
• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Matrix formulation of superspace on 1D lattice with two supercharges
• Lattice Actions for Yang-Mills Quantum Mechanics with Exact Supersymmetry
• Exact Lattice Supersymmetry at the Quantum Level for $N=2$ Wess-Zumino Models in 1- and 2-Dimensions
• Two-dimensional $\mathcal{N}=(2,2)$ Lattice Gauge Theories with Matter in Higher Representations
• Exact Vacuum Energy of Orbifold Lattice Theories
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• An Alternative Lattice Field Theory Formulation Inspired by Lattice Supersymmetry
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Three dimensional lattice gravity as supersymmetric Yang-Mills theory