Multiplicity-free Quantum 6j-Symbols for $${U_q(\mathfrak{sl}_N)}$$
Tóm tắt
We conjecture a closed form expression for the simplest class of multiplicity-free quantum 6j-symbols for
$${U_q(\mathfrak{sl}_N)}$$
. The expression is a natural generalization of the quantum 6j-symbols for
$${U_q(\mathfrak{sl}_2)}$$
obtained by Kirillov and Reshetikhin. Our conjectured form enables computation of colored HOMFLY polynomials for various knots and links carrying arbitrary symmetric representations.
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