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Reduced dynamics of Ward solitons | | Maciej Dunajski
; Nicholas S. Manton
; | | Date: |
5 Nov 2004 | | Journal: | Nonlinearity 18 (2005) 1677-1689 | | Subject: | High Energy Physics - Theory; Mathematical Physics; Exactly Solvable and Integrable Systems; Differential Geometry | hep-th math-ph math.DG math.MP nlin.SI | | 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. | | Source: | arXiv, hep-th/0411068 | | Services: | Forum | Review | PDF | Favorites | |
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