Toroidal domain walls as Hopfions
arXiv:1304.4737
Abstract
We construct stable domain walls in a shape of a torus in the Faddeev-Skyrme model with a quadratic potential term admitting two discrete vacua. The phase modulus of the domain wall is twisted P and Q times along the toroidal and poloidal cycles of the torus, respectively, where Q represents the constituent lump charge. We find that these solutions carry the Hopf charge PQ and can be regarded as Hopfions. The toroidal domain walls are characterized by the two topological charges (P,Q), unlike the conventional Hopfions characterized by only the Hopf charge. We explicitly construct stable solutions of the toroidal domain walls with P, Q = 1,2,3, yielding the Hopf charges 1,2,3,4,6,9.
18 pages, 6 figures
References in corpus (19)
- Knots and Particles
- Semilocal and Electroweak Strings
- Static solitons with non-zero Hopf number
- The Moduli Space of BPS Domain Walls
- The baby Skyrme models and their multi-skyrmions
- Domain Walls and Flux Tubes in N=2 SQCD: D-Brane Prototypes
- 1/2, 1/4 and 1/8 BPS Equations in SUSY Yang-Mills-Higgs Systems -- Field Theoretical Brane Configurations --
- Jewels on a wall ring
- Non-Abelian Webs of Walls
- Global Structure of Moduli Space for BPS Walls
- Dynamics of Domain Wall Networks
- The Supersymmetric Extension of the Faddeev model
- Massive Hopfions
- Classically Isospinning Hopf Solitons
- Isospinning hopfions
- Walls and chains of planar skyrmions
- Defect formation from defect--anti-defect annihilations
- Knots from wall--anti-wall annihilations with stretched strings
- Supersymmetric Q Solitons of Arbitrary Genus
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- Baryonic torii: Toroidal baryons in a generalized Skyrme model
- Winding Hopfions on R^2 x S^1
- Revisiting the Faddeev-Skyrme Model and Hopf Solitons