Topological Solitons from Geometry

Duration: 41 mins 43 secs

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Description:	Dunajski, M (University of Cambridge) Friday 07 December 2012, 10:40-11:20


Created:	2012-12-17 15:57
Collection:	Topological Dynamics in the Physical and Biological Sciences
Publisher:	Isaac Newton Institute
Copyright:	Dunajski, M
Language:	eng (English)


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.

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.

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