Instanton Partons in 5-dim SU(N) Gauge Theory

TL;DR

This paper explores the structure of instanton solitons in 5-dimensional SU(N) gauge theories, revealing their composition from fundamental monopole constituents and their relation to higher-dimensional theories.

Contribution

It demonstrates the realization of instanton partons as nonabelian BPS monopoles in 5D SU(N) gauge theory, connecting to higher-dimensional superconformal theories.

Findings

Instanton partons are realized as nonabelian BPS monopoles.

Fractional instanton charges emerge from magnetic flux sheet intersections.

The structure relates to Kaluza-Klein modes in 6D superconformal theory.

Abstract

The circle compactification of the 6-dim (2,0) superconformal theory of $A_{N-1}$ type leads the 5-dim SU(N) maximally supersymmetric gauge theory. Instanton solitons embody Kaluza-Klein modes and are conjectured to be composed of partonic constituents. We realize such a parton of 1/N instanton topological charge at the intersection of magnetic flux sheets. After a further compactification with nontrivial Wilson line expectation value, instantons or calorons have been shown to be split into fundamental monopoles of fractional instanton charge. In the symmetric phase with trivial Wilson line expectation value, BPS instanton partons emerge more concretely as nonabelian BPS monopoles of minimum charge allowed in Dirac quantization.