nLab vortex string




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By a vortex string one typically means a string-shaped soliton threading through a vortex-solution in a 4-dimensional gauge theory.

The original example are the magnetic flux tubes through the Abrikosov vortices seen in type II superconductors at critical values of the magnetic field. The idea to think of these as string-like dynamical objects in themselves, much as in string theory, is due to Nielsen-Olesen 73, hence one also speaks of Nielsen-Oleson vortices or Nielsen-Olesen strings.

More generally, such string-shaped vortices are considered in Yang-Mills theories with non-abelian gauge group (see e.g. Tong 09).


In electromagnetism

Vortex strings were originally considered in the abelian gauge theory of electromagnetism as Abrikosov vortices in type II superconductors.

  • Alexei Abrikosov, On the Magnetic properties of superconductors of the second group, Sov. Phys. JETP 5 (1957) 1174-1182, Zh. Eksp. Teor. Fiz. 32 (1957) 1442-1452 (spire:9138)

The idea that these vortex flux tube could be thought of as dynamical strings much as in string theory is due to:

See also

In Yang-Mills theory

A more general picture of vortex strings in Yang-Mills theory with nonabelian gauge group (in fact in D=4 N=2 super Yang-Mills theory):

reviewed in:

As probe D1-branes of D1-D5 brane bound states in a context of AdS-QCD duality:

On vortex strings in 𝒩=2\mathcal{N}=2 super QCD identified as superstrings in type II string theory compactified on a conifold:

Last revised on September 20, 2022 at 05:00:39. See the history of this page for a list of all contributions to it.