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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: Existence and stability of pure Hopfions

Presented by Martin Speight (Leeds),

18 November 2005 13:00 in CM221

"The Faddeev-Hopf (FH) model is a nonlinear sigma model thought to possess knotted string-like solitons in dimension 3. It can be naturally formulated on any Riemannian manifold for a field taking values in any Kaehler manifold. In this talk I will describe the pure FH model, a variant which may be thought of as a strong coupling limit of the original theory, and which has strong similarities with pure Yang-Mills theory. I will give a geometric account of the variational calculus for the model which allows one to construct, and analyze the stability of, many explicit solutions. In particular, I will prove a conjecture of Ward, that the Hopf fibration is a stable solution of the (original) FH model on small 3-spheres."

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