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Non-Abelian Vortices of Higher Winding Numbers

Eto, Minoru and Konishi, Kenichi and Marmorini, Giacomo and Nitta, Muneto and Ohashi, Keisuke and Vinci, Walter and Yokoi, Naoto (2006) Non-Abelian Vortices of Higher Winding Numbers. Physical review. D, Particles, fields, gravitation, and cosmology, 74 . 065021. ISSN 1550-7998

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We make a detailed study of the moduli space of winding number two (k=2) axially symmetric vortices (or equivalently, of co-axial composite of two fundamental vortices), occurring in U(2) gauge theory with two flavors in the Higgs phase, recently discussed by Hashimoto-Tong (hep-th/0506022) and Auzzi-Shifman-Yung (hep-th/0511150). We find that it is a weighted projective space WCP^2_(2,1,1)=CP^2/Z_2. This manifold contains an A_1-type (Z_2) orbifold singularity even though the full moduli space including the relative position moduli is smooth. The SU(2) transformation properties of such vortices are studied. Our results are then generalized to U(N) gauge theory with N flavors, where the internal moduli space of k=2 axially symmetric vortices is found to be a weighted Grassmannian manifold. It contains singularities along a submanifold.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA
Depositing User: dott.ssa Sandra Faita
Date Deposited: 04 Feb 2014 15:10
Last Modified: 04 Feb 2014 15:10
URI: http://eprints.adm.unipi.it/id/eprint/1692

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