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• W3021055439 abstract "We present a novel symmetry of the colored HOMFLY polynomial. It relates pairs of polynomials colored by different representations at specific values of $N$ and generalizes the previously known tug-the-hook symmetry of the colored Alexander polynomial. As we show, the symmetry has a superalgebra origin, which we discuss qualitatively. Our main focus are the constraints that such a property imposes on the general group-theoretical structure, namely the $mathfrak{sl}(N)$ weight system, arising in the perturbative expansion of the invariant. Finally, we demonstrate its tight relation to the eigenvalue conjecture." @default.
• W3021055439 created "2020-05-13" @default.
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• W3021055439 date "2020-05-03" @default.
• W3021055439 modified "2023-10-06" @default.
• W3021055439 title "A novel symmetry of colored HOMFLY polynomials coming from $mathfrak{sl}(N|M)$ superalgebras" @default.
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• W3021055439 hasPublicationYear "2020" @default.
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