On Affleck-Dine-Seiberg Superpotential and Magnetic Monopoles in Supersymmetric QCD

TL;DR

This paper investigates the origin of the Affleck-Dine-Seiberg superpotential in supersymmetric QCD, demonstrating it arises from monopole effects in a semi-classical analysis, leading to gaugino condensation and confinement.

Contribution

It provides a controlled semi-classical derivation of the ADS superpotential from monopole contributions in supersymmetric QCD with Nf < N-1.

Findings

ADS superpotential originates from monopole effects

Monopole contributions lead to gaugino condensation

Confinement occurs in the low-energy gauge theory

Abstract

Certain exact results in supersymmetric gauge theories are generated by non-perturbative effects different from instantons. In supersymmetric QCD with N colours and Nf fundamental flavours we examine the Affleck-Dine-Seiberg (ADS) superpotential using controlled semi-classical analysis. We show how for Nf < N-1 the ADS superpotential arises from monopole contributions to the path integral of the supersymmetric gauge theory compactified on R^3*S^1. These are the monopole effects leading to gaugino condensation and confinement of the low-energy SU(N-Nf) supersymmetric gauge theory.