Simulation of Dimensionally Reduced SYM-Chern-Simons Theory
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.
Cite
@article{arxiv.hep-th/0112151,
title = {Simulation of Dimensionally Reduced SYM-Chern-Simons Theory},
author = {J. R. Hiller and S. S. Pinsky and U. Trittmann},
journal= {arXiv preprint arXiv:hep-th/0112151},
year = {2009}
}
Comments
18pp. 7 figures, uses REVTeX