Knot Invariants from Classical Field Theories

Details Knot Invariants from Classical Field Theories Knot Invariants from Classical Field Theories

1999-11-17

arxiv.org/abs/hep-th/9911133v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX. Talk delivered at the Spanish Relativity Meeting, Bilbao, Spain, 1999

Scientific paper

We consider the Non-Abelian Chern-Simons term coupled to external particles, in a gauge and diffeomorphism invariant form. The classical equations of motion are perturbativelly studied, and the on-shell action is shown to produce knot-invariants associated with the sources. The first contributions are explicitly calculated, and the corresponding knot-invariants are recognized. We conclude that the interplay between Knot Theory and Topological Field Theories is manifested not only at the quantum level, but in a classical context as well.

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