Article,
Two-dimensional compact N = (2,2) lattice super Yang-Mills theory with exact supersymmetry
Phys. Lett., (2006)
DOI: 10.1016/j.physletb.2006.02.064
Abstract
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.
