

Steklov Mathematical Institute Seminar
January 16, 2001, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)






Stringlike solitons and their physical applications
L. D. Faddeev^{} 
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Abstract:
A nonlinear model of field theory on fourdimensional Minkowski space is described that admits stationary solutions with finite energy (solitons) that are localized in a neighbourhood of a onedimensional compact contour. This contour can be a knot, link, and so on. The topological charge corresponding to soliton configurations is a Hopf invariant. Possible applications are discussed to plasma theory, the Bose–Einstein condensate, and Yang–Mills theory.

