Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry

Details Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry

2006-01-19

arxiv.org/abs/hep-lat/0601024v4

Phys.Lett. B635 (2006) 218-224

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages, no figure, LaTeX; v2:reference added, v3:minor corrections, v4:version to be published to Physics Letters B

Scientific paper

10.1016/j.physletb.2006.02.064

We construct two-dimensional N=(2,2) lattice super Yang-Mills theory, where the gauge and Higgs fields are all represented by U(N) compact variables, with keeping one exact supercharge along the line of the papers [1,2,3]. Interestingly, requirements of the exact supersymmetry as well as of the compact gauge and Higgs fields lead to the gauge group U(N) rather than SU(N). As a result of the perturbative renormalization argument, the model is shown to flow to the target continuum theory without any fine-tuning. Different from the case of noncompact Higgs fields, the path integral along the flat directions is well-defined in this model.

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