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

J. R. Hiller, S. S. Pinsky, U. Trittmann

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10 Scopus citations


A supersymmetric formulation of a three-dimensional super Yang-Mills-Chem-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-Chem-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.

Original languageEnglish (US)
Article number085046
Pages (from-to)850461-8504611
Number of pages7654151
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number8B
StatePublished - Apr 15 2002


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