Fermion zero modes in the presence of non-abelian vortices

Sumit R. Das

doi:10.1016/0550-3213(83)90569-2

Fermion zero modes in the presence of non-abelian vortices

Sumit R. Das

Physics And Astronomy

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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 language	English
Pages (from-to)	462-476
Number of pages	15
Journal	Nuclear Physics B
Volume	227
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(83)90569-2
State	Published - 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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10.1016/0550-3213(83)90569-2

Cite this

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title = "Fermion zero modes in the presence of non-abelian vortices",

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.",

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N2 - 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.

AB - 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.

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Fermion zero modes in the presence of non-abelian vortices

Abstract

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