Multiplicity-free quantum 6j-symbols for Uq(slN)

Abstract

We conjecture a closed form expression for the simplest class of multiplicity-free quantum 6j-symbols for Uq(slN). The expression is a natural generalization of the quantum 6j-symbols for Uq(sl2) 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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