corner
corner
APS » Journals » Phys. Rev. D » Volume 74 » Issue 6
< Previous Article | Next Article >

Phys. Rev. D 74, 065021 (2006) [19 pages]

Non-Abelian vortices of higher winding numbers

Download: PDF (311 kB) Buy this article Export: BibTeX or EndNote (RIS)

Minoru Eto1,*, Kenichi Konishi2,3,†, Giacomo Marmorini3,4,‡, Muneto Nitta5,§, Keisuke Ohashi6,**, Walter Vinci2,3,††, and Naoto Yokoi7,‡‡
1University of Tokyo, Institute of Physics Komaba 3-8-1, Meguro-ku Tokyo 153, Japan
2Department of Physics, University of Pisa, Largo Pontecorvo, 3, Ed. C, 56127 Pisa, Italy
3INFN, Sezione di Pisa, Largo Pontecorvo, 3, Ed. C, 56127 Pisa, Italy
4Scuola Normale Superiore, Piazza dei Cavalieri, 7, 56100 Pisa, Italy
5Department of Physics, Keio University, Hiyoshi, Yokohama, Kanagawa 223-8521, Japan
6Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan
7Theoretical Physics Laboratory, The Institute of Physical and Chemical Research (RIKEN), 2-1 Hirosawa, Wako, Saitama 351-0198, Japan

Received 18 July 2006; published 26 September 2006

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)2≃CP2/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.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.74.065021
DOI:
10.1103/PhysRevD.74.065021
PACS:
11.27.+d, 11.10.Lm, 11.25.−w, 11.30.Pb

*Email address: meto@hep1.c.u-tokyo.ac.jp

†Email address: konishi@df.unipi.it

‡Email address: g.marmorini@sns.it

§Email address: nitta@phys-h.keio.ac.jp

**Email address: keisuke@th.phys.titech.ac.jp

††Email address: walter.vinci@pi.infn.it

‡‡Email address: n.yokoi@riken.jp

 
< Previous Article | Next Article >