Isospinning ${\mathbb C}P^2$ solitons

TL;DR

This paper investigates stationary rotating solitons in a (2+1)-dimensional ${ m C}P^2$ sigma model, revealing families with multiple winding numbers and analyzing their properties and existence domains.

Contribution

It introduces new families of $U(1)\times U(1)$ symmetric solitons with higher topological degrees and multiple angular frequencies in the ${\rm C}P^2$ model.

Findings

Found families of solutions with topological degree > 2

Identified solutions with two angular frequencies

Analyzed the existence domains of these solitons

Abstract

We study stationary rotating topological solitons in (2+1)-dimensional ${\mathbb C}P^2$ non-linear sigma model with a stabilizing potential term. We find families of $U(1)\times U(1)$ symmetric solutions with topological degrees larger than 2, which have two angular frequencies and are labelled by two (one topological and the other non-topological) winding numbers $k_1>k_2$. We discuss properties of these solitons and investigate the domains of their existence.