Non-Abelian vortex dynamics: effective world-sheet action

  • Sven Bjarke Gudnason
  • Yunguo Jiang
  • Kenichi Konishi


The low-energy vortex effective actionis constructed in a wide class of systems in a color-flavor locked vacuum, which generalizes the results found earlier in the context of U(N) models. It describes the weak fluctuations of the non-Abelian orientational moduli on the vortex worldsheet. For instance, for the minimum vortex in SO(2N) × U(1) or USp(2N) × U(1)gauge theories, the effective action found is a two-dimensional sigma model living on the Hermitian symmetric spaces SO(2N)/U(N) or USp(2N)/U(N), respectively. The fluctuating moduli have the structure of that of a quantum particle state in spinor representations of the GNO dual ofthe color-flavor SO(2N)C+F or USp(2N)C+F symmetry, i.e. of SO(2N) or of SO(2N + 1). Applied to the benchmark U(N) model our procedure reproduces the known \( \mathbb{C}{P^{N - 1}} \) worldsheet action; our recipe allows us to obtain also the effective vortex action for some higher-winding vortices in U(N) and SO(2N) theories.


Confinement Solitons Monopoles and Instantons Nonperturbative Effects Sigma Models 


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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  • Sven Bjarke Gudnason
    • 1
    • 2
  • Yunguo Jiang
    • 1
    • 2
  • Kenichi Konishi
    • 1
    • 2
  1. 1.Department of PhysicsUniversity of PisaPisaItaly
  2. 2.INFN, Sezione di PisaPisaItaly

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