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Reduced dynamics of Ward solitons

Maciej Dunajski·Nicholas S. Manton
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Abstract

The moduli space of static finite energy solutions to Ward's integrable chiral model is the space $M_N$ of based rational maps from $\CP^1$ to itself with degree $N$. The Lagrangian of Ward's model gives rise to a Kähler 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 $M_N$. These solutions can be compared with exact solutions which describe non--scattering or scattering solitons.

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Maciej Dunajski, Nicholas S. Manton. 2005-04-12. Reduced dynamics of Ward solitons. https://doi.org/10.1088/0951-7715%2F18%2F4%2F014

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