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.

18pp. 7 figures, uses REVTeX

References in corpus (3)

• The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
• Wave functions and properties of massive states in three-dimensional supersymmetric Yang-Mills theory
• Two-Point Stress-Tensor Correlator in N=1 SYM(2+1)

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• Approximate BPS states
• Spectrum of N=1 massive super Yang-Mills theory with fundamental matter in 1+1 dimensions
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• Effects of a fundamental mass term in two-dimensional super Yang-Mills theory
• Numerical Simulations of N=(1,1) SYM{1+1} with Large Supersymmetry Breaking