Topological Solitons Seminar: Hyperbolic vortices
17 March 2010 14:15 in CM221
The dynamics of topological solitons can often be understood in terms of the geometry of the "moduli space" - the space of static minimal energy solutions. For hyperbolic vortices, this moduli space is known explicitly. The kinetic energy gives rise to a metric on the moduli space of N vortices. This metric is not known in general. However, for special submanifolds when n vortices lie on the vertices of a regular polygon and m vortices lie at its centre Martin Speight and I recently calculated this metric. I will describe some interesting geometric properties of these submanifolds. This allows us to calculate the geodesic flow on the moduli space quite explicitly. Finally, I describe a novel type of dynamics recently proposed by Collie and Tong.
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