Colored HOMFLY polynomials from Chern-Simons theory
High Energy Physics - Theory
2013-07-23 v4 Mathematical Physics
math.MP
Abstract
We elaborate the Chern-Simons field theoretic method to obtain colored HOMFLY invariants of knots and links. Using multiplicity-free quantum 6j-symbols for U_q(sl_N), we present explicit evaluations of the HOMFLY invariants colored by symmetric representations for a variety of knots, two-component links and three-component links.
Keywords
Cite
@article{arxiv.1302.5144,
title = {Colored HOMFLY polynomials from Chern-Simons theory},
author = {Satoshi Nawata and P. Ramadevi and Zodinmawia},
journal= {arXiv preprint arXiv:1302.5144},
year = {2013}
}
Comments
40 pages, 23 figures, a Mathematica notebook linked on the right as an ancillary file; v2 typos corrected; v3 corrections in section 4.2 and cosmetic changes; v4 corrections in two-component links