A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry

Details A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry

2003-11-14

arxiv.org/abs/hep-lat/0311021v3

JHEP0401:015,2004

Physics

High Energy Physics

High Energy Physics - Lattice

29 pages, 1 figure, LaTeX, (v2) problem on degenerate vacua discussed, renormalization arguments modified, (v3) explanations a

Scientific paper

10.1088/1126-6708/2004/01/015

We construct super Yang-Mills theories with extended supersymmetry on hypercubic lattices of various dimensions keeping one or two supercharges exactly. Gauge fields are represented by ordinary unitary link variables, and the exact supercharges are nilpotent up to gauge transformations. Among the models, we show that the desired continuum theories are obtained without any fine tuning of parameters for the cases ${\cal N}=2, 4, 8$ in two-dimensions.

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