Topological Q-Solitons

Abstract

Static topologically-nontrivial configurations in sigma-models, for spatial dimension D \geq 2, are unstable. The question addressed here is whether such sigma-model solitons can be stabilized by steady rotation in internal space; that is, rotation in a global SO(2) symmetry. This is the mechanism which stabilizes Q-balls (non-topological solitons). The conclusion is that the Q-mechanism can stabilize topological solitons in D=2 spatial dimensions, but not for D=3.

12 pages, 2 figures

References in corpus (1)

• Stabilizing textures with magnetic fields

Cited by in corpus (8)

• Gravitating solitons and black holes with synchronised hair in the four dimensional O(3) sigma-model
• Sigma Model Q-balls and Q-Stars
• Non-topological solitons and quasi-solitons
• BPS Sphalerons in the $F_2$ Non-Linear Sigma Model
• Fractional Hopfions in the Faddeev-Skyrme model with a symmetry breaking potential
• Supersymmetric Q-Lumps in the Grassmannian nonlinear sigma models
• Quantum SUSY Algebra of $Q$-lumps in the Massive Grassmannian Sigma Model
• Non-Singular Stationary Global Strings