# HEP/Astro Seminar -- Wednesday, 20 February 2002

##
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.

## 15:30, Smith Lab 4079

## Reference

J. R. Hiller, S. S. Pinsky and U. Trittmann,
*``Simulation of dimensionally reduced SYM-Chern-Simons theory,''*
hep-th/0112151.

George T. Fleming
(
gfleming@mps.ohio-state.edu
),
last updated 12 February 2002.