Topological Solitons Seminar: The beauty of self-duality: a Skyrme model with an exact BPS sector
15 October 2014 13:00 in CM221
Self-dual sectors are characterized by first order differential equations which imply the second order Euler-Lagrange equations, without the use of any dynamical conservation law. The magic of performing one integration less comes from a topological charge that also leads to a lower bound on the energy. We discuss some generalizations of those ideas that allow, among other things, to show the existence of infinite families of theories sharing the same set of self-dual solutions. As an application we propose a new Skyrme-type model that possesses an exact self-dual (BPS) sector. Its self-duality equation is the same as the so-called force-free equation used in plasma and solar physics. We construct self-dual solutions for such model on the space-time S^3 X R.
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