Multiplicity-free quantum 6j-symbols for U_q(sl_N)
High Energy Physics - Theory
2015-06-15 v3 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We conjecture a closed form expression for the simplest class of multiplicity-free quantum 6j-symbols for U_q(sl_N). The expression is a natural generalization of the quantum 6j-symbols for U_q(sl_2) obtained by Kirillov and Reshetikhin. Our conjectured form enables computation of colored HOMFLY polynomials for various knots and links carrying arbitrary symmetric representations.
Keywords
Cite
@article{arxiv.1302.5143,
title = {Multiplicity-free quantum 6j-symbols for U_q(sl_N)},
author = {Satoshi Nawata and P. Ramadevi and Zodinmawia},
journal= {arXiv preprint arXiv:1302.5143},
year = {2015}
}
Comments
8 pages; v2 typos corrected; v3 minor corrections and reference added