Domain walls and flux tubes

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 cannot end on the wall, and when it ends, the flux must go somewhere. Various examples are discussed, including Abelian and non-Abelian theories, as well as supersymmetric and non-supersymmetric theories. (c) 2005 Elsevier B.V. All rights reserved.