A Non-Abelian Vortex Lattice in Strongly Coupled Systems

TL;DR

This paper explores how non-abelian magnetic fields induce vortex lattices in strongly coupled systems with non-abelian symmetries, revealing antiscreening effects and phase structure insights via holographic duality.

Contribution

It demonstrates the formation of non-abelian vortex lattices due to magnetic instabilities in a holographic framework, linking bulk Yang-Mills instabilities to boundary phenomena.

Findings

Non-abelian magnetic fields induce vortex lattice formation.

Vortex lattices exhibit antiscreening of magnetic fields.

Analysis of the phase structure of the instability.

Abstract

The AdS/CFT correspondence predicts that background non-abelian magnetic fields induce instabilities in strongly-coupled systems with non-abelian global symmetries. These instabilities lead to the formation of vortex lattices in which the non-abelian currents "antiscreen" the applied magnetic field. From the bulk perspective, this behaviour can be traced to a well-known instability of Yang-Mills theory. We analyse the phase structure of the instability and comment on aspects of the vortex lattice.