Domain Walls and Flux Tubes

Abstract

We present a new vortex solution made of a domain wall compactified into a cylinder and stabilized by the magnetic flux within. When the thickness of the wall is much less than the radius of the vortex some precise results can be obtained, such as the tension spectrum and profile functions. This vortex can naturally end on the wall that has created it, making the simplest junction between a wall and a vortex. We then classify every kind of junction between a flux tube and domain wall. The criteria for classification are as follows: a flux can or can not end on the wall, and when it ends, the flux must go somewhere. Various examples are discussed, including abelian and non-ablelian theories, as well as supersymmetric and non-supersymmetric theories.

34 pages, 21 figures

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Cited by in corpus (31)

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• Tunneling decay of false vortices
• Multi-vortices are Wall Vortices: A Numerical Proof
• Large N, Z_N Strings and Bag Models
• Magnetic Bags and Black Holes
• D-brane solitons in various dimensions
• Vortices and magnetic bags in Abelian models with extended scalar sectors and some of their applications
• Non-Abelian Vortices without Dynamical Abelianization
• Hyperbolic vortices with large magnetic flux
• Vortices with scalar condensates in two-component Ginzburg-Landau systems
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• What becomes of vortices when they grow giant
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• A Theory of Giant Vortices
• Strings Inside Walls in N=1 Super Yang-Mills
• NonAbelian Vortices, Large Winding Limits and Aharonov-Bohm Effects
• Supersymmetric Q Solitons of Arbitrary Genus
• Small Winding-Number Expansion: Vortex Solutions at Critical Coupling
• Some exact Bradlow vortex solutions
• Majorana Modes of Giant Vortices
• CFT-approach to Rotating Field Lumps in Attractive Potential
• Vortices and Monopoles in a Harmonic Trap
• Zero Modes of Fermions Trapped by Giant Vortices
• Puffed Noncommutative Nonabelian Vortices
• Abelian-Higgs Phase of SU(2) QCD and Glueball Energy
• A Remark on Supersymmetric Bubbles and Spectrum Crossover