Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model

Abstract

We study fractional Skyrmions in a $\mathbb{C}{P}^2$ baby Skyrme model with a generalization of the easy-plane potential. By numerical methods, we find stable, metastable, and unstable solutions taking the shapes of molecules. Various solutions possess discrete symmetries, and the origin of those symmetries are traced back to congruencies of the fields in homogeneous coordinates on $\mathbb{C}{P}^2$.

9 pages, 4 figures, Published version

References in corpus (31)

• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Half-vortices in polariton condensates
• Instantons in the Higgs Phase
• Construction of Non-Abelian Walls and Their Complete Moduli Space
• Non-Abelian Walls in Supersymmetric Gauge Theories
• Interaction of half-quantized vortices in two-component Bose-Einstein condensates
• Chiral CP^2 skyrmions in three-band superconductors
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Neutral bions in the $\mathbb{C}{P}^{N-1}$ model
• Josephson vortices and the Atiyah-Manton construction
• Webs of Walls
• Deconfinement of Vortices with Continuously Variable Fractions of the Unit Flux Quanta in Two-Gap Superconductors
• Violation of the London Law and Onsager-Feynman quantization in multicomponent superconductors
• Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes
• Two-dimensional vortex behavior in highly underdoped YBa_2Cu_3O_{6+x} observed by scanning Hall probe microscopy
• Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories
• Fractional Vortices and Lumps
• Core Structure and Non-Abelian Reconnection of Defects in a Biaxial Nematic Spin-2 Bose-Einstein Condensate
• Fractional Skyrmions and their molecules
• Fractional and semi-local non-Abelian Chern-Simons vortices
• Isolated Skyrmions in the $C{P}^2$ nonlinear $\sigma$-model with a Dzyaloshinskii-Moriya type interaction
• Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling
• Non-Abelian Alice strings in two-flavor dense QCD
• Gravitating compact $Q$-ball and $Q$-shell solutions in the $\mathbb{C}{P}^N$ nonlinear sigma model
• Compact, charged boson-stars, -shells in the $\mathbb{C}{P}^N$ gravitating nonlinear sigma model
• Fractional Hopfions in the Faddeev-Skyrme model with a symmetry breaking potential
• Stabilizing semilocal strings by polarization
• Half-quantum vortices on c-axis domain walls in chiral p-wave superconductors

Cited by in corpus (10)

• Relations among topological solitons
• Domain Wall Skyrmions in Chiral Magnets
• Semi-classical simulation of spin-1 magnets
• $\mathbb{C}{P}^2$ Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction
• Quantum nucleation of topological solitons
• Chiral Magnets from String Theory
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Demonstration of $\mathbb{C}{P}^2$ skyrmions in three-band superconductors by self-consistent solutions to a Bogoliubov-de Gennes model
• Coreless vortices as direct signature of chiral $d$-wave superconductivity
• Gravitational wave analogues in spin nematics and cold atoms