### Topological Solitons from Geometry

**Dunajski, M ***(University of Cambridge)*

Friday 07 December 2012, 10:40-11:20

Seminar Room 1, Newton Institute

#### Abstract

Solitons are localised non-singular lumps of energy which describe particles non perturbatively. Finding the solitons usually involves solving nonlinear differential equations, but I shall show that in some cases the solitons emerge directly from the underlying space-time geometry: certain abelian vortices arise from surfaces of constant mean curvature in Minkowski space, and skyrmions can be constructed from the holonomy of gravitational instantons.

#### Presentation

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