Authors introduce the HZ character expansion of the HOMFLY-PT polynomial, identify hook diagrams for factorisability, and construct an infinite family of HZ-factorisable hyperbolic knots via full, partial-full, and Jucys-Murphy twists, plus a decomposition conjecture proven for three strands.
Knots, links and branes at large N
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abstract
We consider Wilson loop observables for Chern-Simons theory at large N and its topological string dual and extend the previous checks for this duality to the case of links. We find an interesting structure involving representation/spin degeneracy of branes ending on branes which features in the large N dual description of Chern-Simons theory. This leads to a refinement of the integer invariants for links and knots. We illustrate our results with explicit computations on the Chern-Simons side.
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math-ph 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
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The HZ character expansion and a hyperbolic extension of torus knots
Authors introduce the HZ character expansion of the HOMFLY-PT polynomial, identify hook diagrams for factorisability, and construct an infinite family of HZ-factorisable hyperbolic knots via full, partial-full, and Jucys-Murphy twists, plus a decomposition conjecture proven for three strands.