Approximate BPS states

Abstract

We consider dimensionally reduced three-dimensional supersymmetric Yang-Mills-Chern-Simons theory. Although the N=1 supersymmetry of this theory does not allow true massive Bogomol'nyi-Prasad-Sommerfield (BPS) states, we find approximate BPS states which have non-zero masses that are almost independent of the Yang-Mills coupling constant and which are a reflection of the massless BPS states of the underlying N=1 super Yang-Mills theory. The masses of these states at large Yang-Mills coupling are exactly at the n-particle continuum thresholds. This leads to a relation between their masses at zero and large Yang-Mills coupling.

9 pages, 1 figure; REVTeX

References in corpus (2)

• The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
• Simulation of Dimensionally Reduced SYM-Chern-Simons Theory

Cited by in corpus (7)

• 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
• Anomalously light mesons in a (1+1)-dimensional supersymmetric theory with fundamental matter
• Properties of the Bound States of Super-Yang-Mills-Chern-Simons Theory
• Spectrum of N=1 massive super Yang-Mills theory with fundamental matter in 1+1 dimensions
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model
• Effects of a fundamental mass term in two-dimensional super Yang-Mills theory