Some exact solutions of the semilocal Popov equations
- 등재 SCIE, SCOPUS
- 발행기관 ELSEVIER SCIENCE BV
- 발행년도 2014
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000091219
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.physletb.2014.05.001
초록/요약
We study the semilocal version of Popov's vortex equations on S-2. Though they are not integrable, we construct two families of exact solutions which are expressed in terms of rational functions on S-2. One family is a trivial embedding of Liouville-type solutions of the Popov equations obtained by Manton, where the vortex number is an even integer. The other family of solutions is constructed through a field redefinition which relates the semilocal Popov equation to the original Popov equation but with the ratio of radii root 3/2, which is not integrable. These solutions have vortex number N = 3n - 2 where n is a positive integer, and hence N = 1 solutions belong to this family. In particular, we show that the N = 1 solution with reflection symmetry is the well-known CP1 lump configuration with unit size where the scalars lie on S-3 with radius root 3/2. It generates the uniform magnetic field of a Dirac monopole with unit magnetic charge on S-2. (C) 2014 The Author. Published by Elsevier B.V.
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