# Non-Abelian vortex lattices

@article{Tallarita2017NonAbelianVL, title={Non-Abelian vortex lattices}, author={Gianni Tallarita and Adam J. Peterson}, journal={Physical Review D}, year={2017}, volume={97}, pages={076003} }

We perform a numerical study of the phase diagram of the model proposed in \cite{Shifman:2012vv}, which is a simple model containing non-Abelian vortices. As per the case of Abrikosov vortices, we map out a region of parameter space in which the system prefers the formation of vortices in ordered lattice structures. These are generalizations of Abrikosov vortex lattices with extra orientational moduli in the vortex cores. At sufficiently large lattice spacing the low energy theory is described…

## 6 Citations

### The holographic non-abelian vortex

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe study a fully back-reacted non-abelian vortex solution in an extension of the holographic superconductor setup. The thermodynamic properties of the vortex are computed. We show that, in…

### The holographic vortex lattice using the circular cell method

- PhysicsJournal of High Energy Physics
- 2020

We investigate vortex lattice solutions in a holographic superconductor model in asymptotically AdS4 spacetime which includes the gravitational backreaction of the vortex. The circular cell…

### Dynamics of global and local vortices with orientational moduli

- PhysicsJournal of High Energy Physics
- 2021

The dynamics of both global and local vortices with non-Abelian orientational moduli is investigated in detail. Head-on collisions of these vortices are numerically simulated for parallel,…

### Vortons with Abelian and non-Abelian currents and their stability

- PhysicsThe European Physical Journal C
- 2020

We explore vorton solutions in the Witten’s $$U(1) \times U(1)$$ U ( 1 ) × U ( 1 ) model for cosmic strings and in a modified version $$U(1) \times SO(3)$$ U ( 1 ) × S O ( 3 ) obtained by introducing…

### Vortons with Abelian and non-Abelian currents and their stability

- Materials ScienceThe European Physical Journal C
- 2020

We explore vorton solutions in the Witten’s U(1)×U(1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}…

### The holographic non-abelian vortex

- PhysicsJournal of High Energy Physics
- 2019

We study a fully back-reacted non-abelian vortex solution in an extension of the holographic superconductor setup. The thermodynamic properties of the vortex are computed. We show that, in some…

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