Matrix integral expansion of colored Jones polynomials for figure-eight knot
High Energy Physics - Theory
2015-06-23 v1 Mathematical Physics
math.MP
Abstract
In this note we examine a possible extension of the matrix integral representation of knot invariants beyond the class of torus knots. In particular, we study a representation of the SU(2) quantum Racah coefficients by double matrix integrals. We find that the Racah coefficients are mapped to expansion coefficients in some basis of double integrals. The transformed coefficients have a number of interesting algebraic properties.
Keywords
Cite
@article{arxiv.1411.5698,
title = {Matrix integral expansion of colored Jones polynomials for figure-eight knot},
author = {Alexander Alexandrov and Dmitry Melnikov},
journal= {arXiv preprint arXiv:1411.5698},
year = {2015}
}
Comments
5 pages, 7 figures