Classification of Supersymmetric Lattice Gauge Theories by Orbifolding

Details Classification of Supersymmetric Lattice Gauge Theories by Orbifolding Classification of Supersymmetric Lattice Gauge Theories by Orbifolding

2007-04-20

arxiv.org/abs/0704.2696v2

JHEP0707:051,2007

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1088/1126-6708/2007/07/051

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.

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