Simulation of dimensionally reduced super Yang-Mills-Chern-Simons theory

A supersymmetric formulation of a three-dimensional super Yang-Mills-Chern-Simons theory using light-cone quantization is presented, and the supercharges are calculated in the light-cone gauge. The theory is dimensionally reduced by requiring all fields to be independent of the transverse dimension. The result is a nontrivial two-dimensional supersymmetric theory with an adjoint scalar and an adjoint fermion. We perform a numerical simulation of this super Yang-Mills-Chern-Simons theory in 1+1 dimensions using supersymmetric discrete light-cone quantization. We find that the character of the bound states of this theory is very different from previously considered two-dimensional supersymmetric gauge theories. The low-energy bound states of this theory are very “QCD-like.” The wave functions of some of the low mass states have a striking valence structure. We present the valence and sea parton structure functions of these states. In addition, we identify BPS-like states which are almost independent of the coupling. Their masses are proportional to their parton number in the large-coupling limit.