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arXiv · hep-th/0112151

Simulation of Dimensionally Reduced SYM-Chern-Simons Theory

J. R. Hiller·S. S. Pinsky·U. Trittmann
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Abstract

A supersymmetric formulation of a three-dimensional SYM-Chern-Simons theory using light-cone quantization is presented, and the supercharges are calculated in light-cone gauge. The theory is dimensionally reduced by requiring all fields to be independent of the transverse dimension. The result is a non-trivial two-dimensional supersymmetric theory with an adjoint scalar and an adjoint fermion. We perform a numerical simulation of this SYM-Chern-Simons theory in 1+1 dimensions using SDLCQ (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.

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J. R. Hiller, S. S. Pinsky, U. Trittmann. 2001-12-17. Simulation of Dimensionally Reduced SYM-Chern-Simons Theory. https://doi.org/10.1103/physrevd.65.085046

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