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• W2029756841 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 $Wmathbf{C}{P}_{(2,1,1)}^{2}ensuremath{simeq}mathbf{C}{P}^{2}/{mathbf{Z}}_{2}$. This manifold contains an ${A}_{1}$-type (${mathbf{Z}}_{2}$) 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." @default.
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• W2029756841 date "2006-09-26" @default.
• W2029756841 modified "2023-10-02" @default.
• W2029756841 title "Non-Abelian vortices of higher winding numbers" @default.
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• W2029756841 doi "https://doi.org/10.1103/physrevd.74.065021" @default.
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