Gauge coupling constant, compositeness and supersymmetry

TL;DR

This paper explores how the bare gauge coupling constant, specifically the fine structure constant, can be theoretically determined within a supersymmetric composite model, using a two-dimensional SUSY framework.

Contribution

It demonstrates that the SUSY compositeness condition in a two-dimensional model fixes the value of the electromagnetic coupling constant.

Findings

The SUSY compositeness condition determines the fine structure constant.

Explicit relation between N=2 LSUSY QED and N=2 NLSUSY established.

The bare gauge coupling can be theoretically predicted in SUSY models.

Abstract

We point out the possibility that the magnitude of the bare gauge coupling constant is determined theoretically in a composite model of all particles in SUSY theories. We show explicitly in two space-time dimensions that the NL/L SUSY relation (i.e., a SUSY compositeness condition for all particles) between N = 2 LSUSY QED and N = 2 NLSUSY determines the magnitude of the bare electromagnetic coupling constant (i.e., the fine structure constant) of N = 2 LSUSY QED.