Non-Abelian Vortices of Higher Winding Numbers
Jul, 2006
32 pages
Published in:
- Phys.Rev.D 74 (2006) 065021
e-Print:
- hep-th/0607070 [hep-th]
Report number:
- TIT-HEP-554,
- IFUP-TH-2006-13,
- RIKEN-TH-73,
- UT-KOMABA-06-6
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Abstract:
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.- 11.27.+d
- 11.25.-w
- 11.10.Lm
- 11.30.Pb
- gauge field theory: U(2)
- flavor
- Higgs model
- dimension: 2
- vortex
- charge: topological
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