Knots and Topological Growth Laws in the Faddeev Model

Knots and Topological Growth Laws in the Faddeev Model

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Yisong Yang, Polytechnic Institute of New York University
Fine Hall 314

In this talk, I present some joint work with Fanghua Lin on the existence of knotted solitons realized as the energy-minimizing configurations in the Faddeev field-theoretical model and the associated universal topological growth laws which relate the knot energy to knot topological charge defined by the Hopf invariant.