Remarks on Wilson Loops and Seifert Loops in Chern-Simons Theory

Details Remarks on Wilson Loops and Seifert Loops in Chern-Simons Theory Remarks on Wilson Loops and Seifert Loops in Chern-Simons Theory

2010-12-22

arxiv.org/abs/1012.5064v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, to appear in the proceedings of the conference "Chern-Simons Gauge Theory: 20 Years After"

Scientific paper

As noted long ago by Atiyah and Bott, the classical Yang-Mills action on a Riemann surface admits a beautiful symplectic interpretation as the norm-square of a moment map associated to the Hamiltonian action by gauge transformations on the affine space of connections. Here I explain how certain Wilson loop observables in Chern-Simons gauge theory on a Seifert three-manifold can be given an analogous symplectic description. Among other results, this symplectic description implies that the stationary-phase approximation to the Wilson loop path integral is exact for torus knots, an empirical observation made previously by Lawrence and Rozansky. This article reviews selected material from the larger work "Localization for Wilson Loops in Chern-Simons Theory," arXiv:0911.2687.

Affiliated with

Also associated with

No associations

Rating

Remarks on Wilson Loops and Seifert Loops in Chern-Simons Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Remarks on Wilson Loops and Seifert Loops in Chern-Simons Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Remarks on Wilson Loops and Seifert Loops in Chern-Simons Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-582670