Non-Abelian moduli on domain walls

Evgeniy Kurianovych, M. Shifman

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6 Scopus citations


We study a simple model supporting domain walls which possess two orientational moduli in addition to the conventional translational modulus. This model is conceptually close to Witten's cosmic strings. We observe an O(3) sigma model on the wall worldvolume in the low-energy limit. We solve (numerically) classical static equations of motion and find the wall profile functions and the value of the coupling of the O(3) model in terms of the bulk parameters. In the second part a term describing a spin-orbit interaction in the bulk is added, which gives rise to an entanglement between rotational and translational moduli. The corresponding extra term in the low-energy Lagrangian is calculated.

Original languageEnglish (US)
Article number1450193
JournalInternational Journal of Modern Physics A
Issue number32
StatePublished - Dec 30 2014

Bibliographical note

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© 2014 World Scientific Publishing Company.


  • Domain walls
  • non-Abelian moduli
  • non-perturbative field theory


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