Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Abelian Vortices of Higher Winding Numbers   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.

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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex