Reduced dynamics of Ward solitons

被引:10
作者
Dunajski, M [1 ]
Manton, NS [1 ]
机构
[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
关键词
D O I
10.1088/0951-7715/18/4/014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The moduli space of static finite energy solutions to Ward's integrable chiral model is the space M-N of based rational maps from CP1 to itself with degree N. The Lagrangian of Ward's model gives rise to a Kahler metric and a magnetic vector potential on this space. However, the magnetic field strength vanishes, and the approximate non-relativistic solutions to Ward's model correspond to a geodesic motion on MN. These solutions can be compared with exact solutions which describe non-scattering or scattering solitons.
引用
收藏
页码:1677 / 1689
页数:13
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