Charge ambiguity and splitting of monopoles
Abstract
This paper focuses on topological defects, appearing in meanfieldtheory treatments of physical systems such as ultracold atomic gases and gauge field theories. We begin by investigating the ambiguity and addition of topological charges using the mathematical formalism of covering spaces, which clarifies many aspects these phenomena. Subsequently, we classify topologicaldefect configurations consisting of several monopoles and unknotted ring defects in terms of homotopy groups and fundamentalgroup actions on them, thus generalizing the previous classifications of a single monopole and a single unknotted ring defect. Finally, we examine the decay of multiply charged topological monopoles under small perturbations of the physical system, and analyze the conditions under which multiply charged monopoles are inclined to split into several singly charged monopoles.
 Publication:

Physical Review Research
 Pub Date:
 June 2022
 DOI:
 10.1103/PhysRevResearch.4.023209
 arXiv:
 arXiv:2109.02892
 Bibcode:
 2022PhRvR...4b3209A
 Keywords:

 Condensed Matter  Quantum Gases;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 Rescaled the figures