Degeneracy between Abelian and Non-Abelian Strings

Abstract

In a model that supports both Abelian (Abrikosov-Nielsen-Olesen) and non-Abelian strings we analyze the parameter space to find examples in which these strings not only coexist but are degenerate in tension. We prove that both solutions are locally stable, i.e there are no negative modes in the string background. The tension degeneracy is achieved at the classical level and is expected to be lifted by quantum corrections. The set up of the model, analogous to that of Witten's superconducting cosmic strings, had been extended to include non-Abelian strings.

References in corpus (4)

• Simple Models with Non-Abelian Moduli on Topological Defects
• Non-Abelian Monopoles in the Higgs Phase
• Abrikosov-Nielsen-Olesen string with Non-Abelian Moduli and "Spin-Orbit" Interaction
• Calculating Extra (Quasi)Moduli on the Abrikosov-Nielsen-Olesen string with Spin-Orbit Interaction

Cited by in corpus (5)

• Scalar triplet on a domain wall: an exact solution
• Monopole-vortex complex at large distances and nonAbelian duality
• Non-Abelian Vortices in Holographic Superconductors
• Scalar triplet on a domain wall
• Dyonic non-Abelian vortex strings in supersymmetric and non-supersymmetric theories: tensions and higher derivative corrections