Polynomial invariants for torus knots and topological strings

Details Polynomial invariants for torus knots and topological strings Polynomial invariants for torus knots and topological strings

2000-04-27

arxiv.org/abs/hep-th/0004196v3

Commun.Math.Phys. 217 (2001) 423-449

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, harvmac. Some equations in the appendix corrected, a small change in the definition of the connected vev

Scientific paper

10.1007/s002200100374

We make a precision test of a recently proposed conjecture relating Chern-Simons gauge theory to topological string theory on the resolution of the conifold. First, we develop a systematic procedure to extract string amplitudes from vacuum expectation values (vevs) of Wilson loops in Chern-Simons gauge theory, and then we evaluate these vevs in arbitrary irreducible representations of SU(N) for torus knots. We find complete agreement with the predictions derived from the target space interpretation of the string amplitudes. We also show that the structure of the free energy of topological open string theory gives further constraints on the Chern-Simons vevs. Our work provides strong evidence towards an interpretation of knot polynomial invariants as generating functions associated to enumerative problems.

Affiliated with

Also associated with

No associations

Rating

Polynomial invariants for torus knots and topological strings 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 Polynomial invariants for torus knots and topological strings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polynomial invariants for torus knots and topological strings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-80244