New Phenomena in SU(3) Supersymmetric Gauge Theory

TL;DR

This paper demonstrates that four-dimensional N=2 supersymmetric SU(n) gauge theories inherently include vacua with mutually non-local massless dyons, revealing new phenomena in the structure of these theories.

Contribution

It shows the existence of non-local massless dyons in SU(n) theories for n>2 using analyticity and weak coupling analysis, and proposes a superconformal low-energy description.

Findings

Identification of vacua with mutually non-local massless dyons

Analysis of the Z_3 point in SU(3) theory

Proposal of an N=2 superconformal U(1) theory at the special vacuum

Abstract

We show that four-dimensional N=2 supersymmetric SU(n) gauge theory for n>2 necessarily contains vacua with mutually non-local massless dyons, using only analyticity of the effective action and the weak coupling limit of the moduli space of vacua. A specific example is the Z_3 point in the exact solution for SU(3), and we study its effective Lagrangian. We propose that the low-energy theory at this point is an N=2 superconformal U(1) gauge theory containing both electrically and magnetically charged massless hypermultiplets.