Knot Invariants from Classical Field Theories
High Energy Physics - Theory
2016-09-06 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9911133,
title = {Knot Invariants from Classical Field Theories},
author = {Lorenzo Leal},
journal= {arXiv preprint arXiv:hep-th/9911133},
year = {2016}
}
Comments
7 pages, LaTeX. Talk delivered at the Spanish Relativity Meeting, Bilbao, Spain, 1999