Non-Abelian vortices of higher winding numbers

Minoru Eto, Kenichi Konishi, Giacomo Marmorini, Muneto Nitta, Keisuke Ohashi, Walter Vinci, Naoto Yokoi

Research output: Contribution to journalArticle

116 Citations (Scopus)

Abstract

We make a detailed study of the moduli space of winding number two (k=2) axially symmetric vortices (or equivalently, of coaxial composite of two fundamental vortices), occurring in U(2) gauge theory with two flavors in the Higgs phase, recently discussed by Hashimoto and Tong and by Auzzi, Shifman, and Yung. We find that it is a weighted projective space WCP(2,1,1)2CP2/Z2. This manifold contains an A1-type (Z2) 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.

Original languageEnglish
Article number065021
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume74
Issue number6
DOIs
Publication statusPublished - 2006

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Winding number
Vortex
Moduli Space
vortices
Gauge Theory
gauge theory
Singularity
Grassmannian
Coaxial
Orbifold
Weighted Spaces
Projective Space
Higgs
Submanifolds
Modulus
Composite
Internal
composite materials

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Non-Abelian vortices of higher winding numbers. / Eto, Minoru; Konishi, Kenichi; Marmorini, Giacomo; Nitta, Muneto; Ohashi, Keisuke; Vinci, Walter; Yokoi, Naoto.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 74, No. 6, 065021, 2006.

Research output: Contribution to journalArticle

Eto, Minoru ; Konishi, Kenichi ; Marmorini, Giacomo ; Nitta, Muneto ; Ohashi, Keisuke ; Vinci, Walter ; Yokoi, Naoto. / Non-Abelian vortices of higher winding numbers. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2006 ; Vol. 74, No. 6.
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