Magnetic skyrmions are nanoscale topological textures that have been recently observed in
different families of quantum magnets. These objects are called CP1 skyrmions because …

We study two dimensional soliton solutions in the CP 2 nonlinear sigma model with a
Dzyaloshinskii-Moriya type interaction. First, we derive such a model as a continuous limit of …

A bstract We study fractional Skyrmions in a ℂP 2 baby Skyrme model with a generalization
of the easy-plane potential. By numerical methods, we find stable, metastable, and unstable …

We show that the CPN model with an odd number of scalar fields and a V-shaped potential
possesses some finite energy compact solutions in the form of Q-balls and Q-shells. Such …

We study stationary rotating topological solitons in a (2+ 1)-dimensional CP 2 nonlinear
sigma model with a stabilizing potential term. We find families of U (1)× U (1) symmetric …

We study a multicomponent $ CP^ N $ model's scalar electrodynamics. The model contains
Q-balls/shells, which are non-topological compact solitons with time dependency …

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 …

Abstract The Skyrme-Faddeev model has planar soliton solutions with the target space ℂ
PN. An Abelian Chern-Simons term (the Hopf term) in the Lagrangian of the model plays a …

The CPN extended Skyrme-Faddeev model possesses planar soliton solutions. We
consider quantum aspects of the solutions applying collective coordinate quantization in …

We study fractional Skyrmions in a ℂP 2 baby Skyrme model with a generalization of the
easy-plane potential. By numerical methods, we find stable, metastable, and unstable …