Properties of the Bound States of Super-Yang-Mills-Chern-Simons Theory

Abstract

We apply supersymmetric discrete light-cone quantization (SDLCQ) to the study of supersymmetric Yang-Mills-Chern-Simons (SYM-CS) theory on R x S^1 x S^1. One of the compact directions is chosen to be light-like and the other to be space-like. Since the SDLCQ regularization explicitly preserves supersymmetry, this theory is totally finite, and thus we can solve for bound-state wave functions and masses numerically without renormalizing. The Chern-Simons term is introduced here to provide masses for the particles while remaining totally within a supersymmetric context. We examine the free, weak and strong-coupling spectrum. The transverse direction is discussed as a model for universal extra dimensions in the gauge sector. The wave functions are used to calculate the structure functions of the lowest mass states. We discuss the properties of Kaluza-Klein states and focus on how they appear at strong coupling. We also discuss a set of anomalously light states which are reflections of the exact Bogomol'nyi-Prasad-Sommerfield states of the underlying SYM theory.

20pp., 21 figures

References in corpus (1)

• Anomalously light states in super-Yang-Mills Chern-Simons theory

Cited by in corpus (6)

• Nonperturbative light-front Hamiltonian methods
• Spectrum and thermodynamic properties of two-dimensional N=(1,1) super Yang-Mills theory with fundamental matter and a Chern-Simons term
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• 2004 Review of Light Cone Field Theory
• Effects of a fundamental mass term in two-dimensional super Yang-Mills theory
• DLCQ On a Twisted Torus