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Refined Hopf Link Revisited

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arxiv 1111.0525 v1 pith:HUGJFNN2 submitted 2011-11-02 hep-th

Amer Iqbal , Can Kozçaz This is my paper · ORCID
classification hep-th
keywords refinedhopflinkchern-simonss-matrixtheorybasiscalculated
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We establish a relation between the refined Hopf link invariant and the S-matrix of the refined Chern-Simons theory. We show that the refined open string partition function corresponding to the Hopf link, calculated using the refined topological vertex, when expressed in the basis of Macdonald polynomials gives the S-matrix of the refined Chern-Simons theory.

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  1. Macdonald deformation of Vogel's universality and link hyperpolynomials

    hep-th 2025-05 conditional novelty 6.0 of 10

    For the adjoint square in ADE Lie algebras, products of Macdonald dimensions with deformed Littlewood-Richardson coefficients are universal, yielding universal formulas for T[2,2n] link hyperpolynomials.

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