Colored HOMFLY polynomials from Chern-Simons theory

P. Ramadevi; Satoshi Nawata; Zodinmawia

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Colored HOMFLY polynomials from Chern-Simons theory

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arxiv 1302.5144 v4 pith:45MIHS5J submitted 2013-02-20 hep-th math-phmath.MP

Satoshi Nawata , P. Ramadevi , Zodinmawia This is my paper

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keywords coloredhomflylinkschern-simonsinvariantsknotselaborateevaluations

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We elaborate the Chern-Simons field theoretic method to obtain colored HOMFLY invariants of knots and links. Using multiplicity-free quantum 6j-symbols for U_q(sl_N), we present explicit evaluations of the HOMFLY invariants colored by symmetric representations for a variety of knots, two-component links and three-component links.

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