Non-Abelian Vortices in Holographic Superconductors

TL;DR

This paper extends holographic superconductor models to include non-Abelian vortices, revealing scalar condensation and orientational moduli as bulk Goldstone bosons, thus providing insights into non-Abelian vortex dynamics in holography.

Contribution

It introduces a new holographic model for non-Abelian vortices with scalar condensation and zero modes, expanding the understanding of vortex solutions in holographic superconductors.

Findings

Identification of bulk solutions describing non-Abelian vortices

Demonstration of scalar condensation in vortex cores

Presence of Goldstone bosons as orientational moduli

Abstract

We find, by an appropriate extension of the standard holographic superconductor setup, static bulk solutions which describe holographic duals to non-Abelian vortices. In the core of these vortices a scalar field condenses, breaking a non-Abelian global symmetry which leads to additional zero modes called orientational moduli. These moduli appear in the bulk as Goldstone bosons associated to the condensation of a neutral scalar field.