Fermion zero modes in the presence of non-abelian vortices

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Abstract

The Dirac equation in the presence of non-abelian vortices is investigated . For isospinor fermions coupled to the vortex in the SU(2) Nielsen-Olesen model, there are normalisable well-behaved zero-energy solutions. When the fermions are in the adjoint representation there are no normalisable zero modes. The Z2 vortex appearing in a SO(10) theory is explicitly constructed and it is shown that the heavy neutrino can be bound to it in a zero-energy state.

Original languageEnglish
Pages (from-to)462-476
Number of pages15
JournalNuclear Physics B
Volume227
Issue number3
DOIs
StatePublished - Nov 7 1983

Bibliographical note

Funding Information:
* Work supported in part by the NSF: PHY-79-23669.

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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