# Stable non-Abelian semi-superfluid vortices in dense QCD

## TL;DR

This paper reviews the theoretical properties of stable non-Abelian vortices in high-density quark matter, focusing on their zero modes, effective theories, and Aharonov-Bohm phases affecting charged particles.

## Contribution

It provides a detailed analysis of zero modes, effective world sheet theories, and electromagnetic interactions of non-Abelian vortices in dense QCD, based on recent research.

## Key findings

- Identification of localized NG bosons and Majorana fermions around vortices
- Derivation of low-energy effective world sheet theory for vortices
- Analysis of Aharonov-Bohm phases for charged particles encircling vortices

## Abstract

Color superconductivity is expected to be formed in high density quark matter where color symmetry is spontaneously broken in the presence of di-quark condensate. Stable non-Abelian vortices or color magnetic flux tubes exist in the color-flavor locked phase at asymptotically high density. $\mathbb{C}P^2$ Nambu-Goldstone(NG) bosons and Majorana fermions belonging to the triplet representation are localized around a non-Abelian vortex. We discuss the zero mode analysis and the low-energy effective world sheet theory of a non-Abelian vortex. We determine the interactions of these bosonic and fermionic modes by using the nonlinear realization method. We also discuss the Aharanov-Bohm (AB) phases of charged particles, such as, electrons, muons, and color-flavor locked mesons made of tetra-quarks encircling around a non-Abelian vortex in the presence of electro-magnetic fields. This is a review based on our recent works arXiv:1602.01677, arXiv:1512.06603, arXiv:1612.09419.