Knots from wall--anti-wall annihilations with stretched strings

Abstract

A pair of a domain wall and an anti-domain wall is unstable to decay. We show that when a vortex-string is stretched between the walls, there remains a knot soliton (Hopfion) after the pair annihilation.

10 pages, 6 figures, published version. arXiv admin note: text overlap with arXiv:1205.2442

References in corpus (11)

• Knots and Particles
• Born-Infeld particles and Dirichlet p-branes
• Brane Dynamics From the Born-Infeld Action
• Multisolitons in a Two-dimensional Skyrme Model
• Static solitons with non-zero Hopf number
• Dynamics of Baby Skyrmions
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• D-brane Solitons in Supersymmetric Sigma-Models
• The baby Skyrme models and their multi-skyrmions
• Skyrmions and domain walls in (2+1) dimensions
• Walls and chains of planar skyrmions

Cited by in corpus (14)

• Neutral bions in the $\mathbb{C}{P}^{N-1}$ model
• Jewels on a wall ring
• Incarnations of Skyrmions
• Torus knots as Hopfions
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Domain Wall Skyrmions in Chiral Magnets
• Fractional vortex molecules and vortex polygons in a baby Skyrme model
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Winding Hopfions on R^2 x S^1
• Chiral Magnets from String Theory
• D-brane solitons in various dimensions
• Incarnations of Instantons
• Toroidal domain walls as Hopfions
• Knotted instantons from annihilations of monopole-instanton complex