SU (N) quantum Racah coefficients & non-torus links
P Ramadevi - arXiv preprint arXiv:1107.3918, 2011 - arxiv.org
arXiv preprint arXiv:1107.3918, 2011•arxiv.org
It is well-known that the SU (2) quantum Racah coefficients or the Wigner $6 j $ symbols
have a closed form expression which enables the evaluation of any knot or link polynomials
in SU (2) Chern-Simons field theory. Using isotopy equivalence of SU (N) Chern-Simons
functional integrals over three balls with one or more $ S^ 2$ boundaries with punctures, we
obtain identities to be satisfied by the SU (N) quantum Racah coefficients. This enables
evaluation of the coefficients for a class of SU (N) representations. Using these coefficients …
have a closed form expression which enables the evaluation of any knot or link polynomials
in SU (2) Chern-Simons field theory. Using isotopy equivalence of SU (N) Chern-Simons
functional integrals over three balls with one or more $ S^ 2$ boundaries with punctures, we
obtain identities to be satisfied by the SU (N) quantum Racah coefficients. This enables
evaluation of the coefficients for a class of SU (N) representations. Using these coefficients …
It is well-known that the SU(2) quantum Racah coefficients or the Wigner symbols have a closed form expression which enables the evaluation of any knot or link polynomials in SU(2) Chern-Simons field theory. Using isotopy equivalence of SU(N) Chern-Simons functional integrals over three balls with one or more boundaries with punctures, we obtain identities to be satisfied by the SU(N) quantum Racah coefficients. This enables evaluation of the coefficients for a class of SU(N) representations. Using these coefficients, we can compute the polynomials for some non-torus knots and two-component links. These results are useful for verifying conjectures in topological string theory.
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