Non-Abelian vortices of higher winding numbers
- University of Tokyo, Institute of Physics Komaba 3-8-1, Meguro-ku Tokyo 153 (Japan)
- Department of Physics, University of Pisa, Largo Pontecorvo, 3, Ed. C, 56127 Pisa (Italy)
- INFN, Sezione di Pisa, Largo Pontecorvo, 3, Ed. C, 56127 Pisa (Italy)
- Department of Physics, Keio University, Hiyoshi, Yokohama, Kanagawa 223-8521 (Japan)
- Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551 (Japan)
- Theoretical Physics Laboratory, The Institute of Physical and Chemical Research (RIKEN), 2-1 Hirosawa, Wako, Saitama 351-0198 (Japan)
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{sub (2,1,1)}{sup 2}{approx_equal}CP{sup 2}/Z{sub 2}. This manifold contains an A{sub 1}-type (Z{sub 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.
- OSTI ID:
- 20871254
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
On the moduli space of semilocal strings and lumps
Fractional vortices and lumps