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• W2072047560 abstract "Basing on evaluation of the Racah coefficients for SU_q(3) (which supported the earlier conjecture of their universal form) we derive explicit formulas for all the 5-, 6- and 7-strand Wilson averages in the fundamental representation of arbitrary SU(N) group (the HOMFLY polynomials). As an application, we list the answers for all 5-strand knots with 9 crossings. In fact, the 7-strand formulas are sufficient to reproduce all the HOMFLY polynomials from the katlas.org: they are all described at once by a simple explicit formula with a very transparent structure. Moreover, would the formulas for the relevant SU_q(3) Racah coefficients remain true for all other quantum groups, the paper provides a complete description of the fundamental HOMFLY polynomials for all braids with any number of strands." @default.
• W2072047560 created "2016-06-24" @default.
• W2072047560 creator A5022489118 @default.
• W2072047560 creator A5042076083 @default.
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• W2072047560 date "2013-03-01" @default.
• W2072047560 modified "2023-09-23" @default.
• W2072047560 title "Racah coefficients and extended HOMFLY polynomials for all 5-, 6- and 7-strand braids" @default.
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• W2072047560 doi "https://doi.org/10.1016/j.nuclphysb.2012.11.006" @default.
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