Degeneracy between Abelian and non-Abelian strings

Sergey Monin, M. Shifman

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5 Scopus citations


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 setup of the model, analogous to that of Witten's superconducting cosmic strings, had been extended to include non-Abelian strings previously [M. Shifman, Phys. Rev. D 87, 025025 (2013), arXiv:1212.4823 [hep-th]].

Original languageEnglish (US)
Article number1450105
JournalInternational Journal of Modern Physics A
Issue number18
StatePublished - Jul 20 2014

Bibliographical note

Funding Information:
This work is supported in part by DOE grant DE-FG02-94ER40823.


  • ANO strings
  • degeneracy
  • non-Abelian strings
  • stability


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