Approximate BPS states

TL;DR

This paper investigates approximate BPS states in a reduced 3D supersymmetric Yang-Mills-Chern-Simons theory, revealing states with near-constant masses across coupling regimes linked to underlying massless BPS states.

Contribution

It introduces the concept of approximate BPS states in a reduced supersymmetric gauge theory, connecting their properties at different coupling strengths.

Findings

Approximate BPS states have masses nearly independent of coupling.

At large coupling, their masses align with n-particle continuum thresholds.

A relation between zero and large coupling masses is established.

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.