Instantons confined by monopole strings

TL;DR

This paper demonstrates that in a 4+1 dimensional setting, Yang-Mills instantons can be confined by monopole-strings, extending known confinement mechanisms from lower dimensions through a Higgs phase construction.

Contribution

It introduces a higher-dimensional generalization showing instantons confined by monopole-strings within a non-Abelian vortex sheet in 4+1 dimensions.

Findings

Instantons can be confined by monopole-strings in 4+1 dimensions.

The system is constructed inside a non-Abelian vortex sheet.

The configuration is achieved in the Higgs phase.

Abstract

It is known that monopoles can be confined by vortex-strings in d=3+1 while vortices can be confined by domain-lines in d=2+1. Here, as a higher dimensional generalization of these, we show that Yang-Mills instantons can be confined by monopole-strings in d=4+1. We achieve this by putting the system into the Higgs phase in which the configuration can be constructed inside a non-Abelian vortex sheet.