Topologically Alice strings and monopoles

@article{Benson2004TopologicallyAS,
  title={Topologically Alice strings and monopoles},
  author={Katherine M. Benson and Tom D. Imbo},
  journal={Physical Review D},
  year={2004},
  volume={70},
  pages={025005}
}
Symmetry breaking can produce ``Alice'' strings, which alter scattered charges and carry monopole number and charge when twisted into loops. Alice behavior arises algebraically, when strings obstruct unbroken symmetries\char22{}a fragile criterion. We give a topological criterion, compelling Alice behavior or deforming it away. Our criterion, that ${\ensuremath{\pi}}_{0}(H)$ acts nontrivially on ${\ensuremath{\pi}}_{1}(H),$ links topologically Alice strings to topological monopoles. We twist… 

Figures from this paper

BPS Alice strings

When a charged particle encircles around an Alice string, it changes the sign of the electric charge. In this paper we find a BPS-saturated Alice string in U(1)×SO(3) gauge theory with charged

Alice strings in non-Hermitian systems

Alice string is a topological defect with a very peculiar feature. When a defect with a monopole charge encircles an Alice string, the monopole charge changes sign. In this work, we generalize this

Confinement and moduli locking of Alice strings and monopoles

  • M. Nitta
  • Physics
    Journal of High Energy Physics
  • 2021
We argue that strings (vortices) and monopoles are confined, when fields receiving nontrivial Aharonov-Bohm (AB) phases around a string develop vacuum expectation values (VEVs). We illustrate this in

Confinement and moduli locking of Alice strings and monopoles

We argue that strings (vortices) and monopoles are confined, when fields receiving nontrivial Aharonov-Bohm (AB) phases around a string develop vacuum expectation values (VEVs). We illustrate this in

The effective action of a BPS Alice string

Recently a BPS Alice string has been found in a U(1)×SO(3)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}

The effective action of a BPS Alice string

Recently a BPS Alice string has been found in a $$U(1)\times SO(3)$$U(1)×SO(3) gauge theory coupled with three charged complex scalar fields in the triplet representation (in JHEP 1709:046

BPS Alice strings

A bstractWhen a charged particle encircles around an Alice string, it changes the sign of the electric charge. In this paper we find a BPS-saturated Alice string in U(1)×SO(3) gauge theory with

Note on a solution to domain wall problem with the Lazarides-Shafi mechanism in axion dark matter models

Axion is a promising candidate of dark matter. After the Peccei-Quinn symmetry breaking, axion strings are formed and attached by domain walls when the temperature of the universe becomes comparable

Aharonov-Bohm defects

We discuss what happens when a field receiving an Aharonov-Bohm (AB) phase develops a vacuum expectation value (VEV), with an example of an Alice string in a $U(1) \times SU(2)$ gauge theory coupled

References

The Universe in a Helium Droplet

2. GRAVITY 7. MICROSCOPIC PHYSICS 13. TOPOLOGY OF DEFECTS 18. ANOMALOUS NON-CONSERVATION OF FERMIONIC CHARGE 22. EDGE STATES AND FERMION ZERO MODES ON SOLITON 26. LANDAU CRITICAL VELOCITY 29. CASIMIR