Link invariants from classical ChernSimons theory
Abstract
Taking as the starting point a perturbative study of the classical equations of motion of the nonAbelian ChernSimons theory with nondynamical sources, we obtain analytical expressions for link invariants. In order to present these expressions in a manifestly diffeomorphisminvariant form, we introduce a set of differential forms associated with submanifolds in R^{3} that are metric independent, and that allow us to consider the link invariants as a kind of surfacedependent diffeomorphism invariant that presents a certain Abelian gauge symmetry.
 Publication:

Physical Review D
 Pub Date:
 December 2002
 DOI:
 10.1103/PhysRevD.66.125007
 arXiv:
 arXiv:hepth/0204139
 Bibcode:
 2002PhRvD..66l5007L
 Keywords:

 11.15.q;
 02.10.Kn;
 03.50.Kk;
 Gauge field theories;
 Knot theory;
 Other special classical field theories;
 High Energy Physics  Theory
 EPrint:
 Corrected typos