Stress stability criterion of the isospinning $\mathbb{C}P^2$ solitons

Sergei Antsipovich; Yakov Shnir

Stress stability criterion of the isospinning $\mathbb{C}P^2$ solitons

High Energy Physics - Theory 2026-07-05 v1

Authors: Sergei Antsipovich , Yakov Shnir

Abstract

We study the energy-momentum tensor of stationary rotating topological solitons in a (2 + 1)-dimensional $\mathbb{C}P^2$ nonlinear sigma model with a stabilizing potential term. We evaluate the distributions of the corresponding shear forces and pressure and study the stability criteria for these solutions. Our results suggest that these solitons become classically unstable for some range of values of the parameters of the system.

Keywords

topological solitons CP^2 sigma model energy-momentum tensor stability isospinning solitons shear forces

Cite

@article{arxiv.2607.04413,
  title  = {Stress stability criterion of the isospinning $\mathbb{C}P^2$ solitons},
  author = {Sergei Antsipovich and Yakov Shnir},
  journal= {arXiv preprint arXiv:2607.04413},
  year   = {2026}
}

Comments

24 pages, 14 figures