Chern-Simons matrix models and Stieltjes-Wigert polynomials

Details Chern-Simons matrix models and Stieltjes-Wigert polynomials Chern-Simons matrix models and Stieltjes-Wigert polynomials

2006-09-25

arxiv.org/abs/hep-th/0609167v1

J.Math.Phys.48:023507,2007

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, AMS-LaTex

Scientific paper

10.1063/1.2436734

Employing the random matrix formulation of Chern-Simons theory on Seifert manifolds, we show how the Stieltjes-Wigert orthogonal polynomials are useful in exact computations in Chern-Simons matrix models. We construct a biorthogonal extension of the Stieltjes-Wigert polynomials, not available in the literature, necessary to study Chern-Simons matrix models when the geometry is a lens space. We also discuss several other results based on the properties of the polynomials: the equivalence between the Stieltjes-Wigert matrix model and the discrete model that appears in q-2D Yang-Mills and the relationship with Rogers-Szego polynomials and the corresponding equivalence with an unitary matrix model. Finally, we also give a detailed proof of a result that relates quantum dimensions with averages of Schur polynomials in the Stieltjes-Wigert ensemble.

Affiliated with

Also associated with

No associations

Rating

Chern-Simons matrix models and Stieltjes-Wigert polynomials 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 Chern-Simons matrix models and Stieltjes-Wigert polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chern-Simons matrix models and Stieltjes-Wigert polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-15424