2004/01/31 by Fumihiko Sugino
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1126-6708/2004/03/067
published as JHEP0403:067,2004 · 15 pages, no figure, LaTeX, (v2) published version in JHEP, (v3) minor corrections, (v4) 22 pages, reconsidered the vacuum degeneracy problem for SU(N), revised version
openalex publication_date 2004/03/30 · arxiv created 2006/03/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We construct super Yang-Mills theories with \cal N=2, 4 supersymmetries on the two-dimensional square lattice keeping one or two supercharges exactly. Along the same line as the previous paper \citesugino, the construction is based on topological field theory formulation. In order to resolve the problem of degenerate classical vacua encountered in the previous paper, we consider two kinds of modifications of the action. For one of them, any supersymmetry breaking terms do not need to be introduced, and the formulations exactly realize some of supersymmetries at the lattice level. Our lattice actions flow to the desired continuum theories without any fine-tuning of parameters.