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VOLUME 101 (2015) | ISSUE 1 | PAGE 54
Matrix integral expansion of coloured Jones polynomials for figure-eight knot
DOI: 10.7868/S0370274X15010117
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.