Extension of KNTZ trick to non-rectangular representations

A. Morozov

doi:10.1016/j.physletb.2019.05.016

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arXiv · 1903.00259

Extension of KNTZ trick to non-rectangular representations

A. Morozov

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Abstract

We claim that the recently discovered universal-matrix precursor for the $F$ functions, which define the differential expansion of colored polynomials for twist and double braid knots, can be extended from rectangular to non-rectangular representations. This case is far more interesting, because it involves multiplicities and associated mysterious gauge invariance of arborescent calculus. In this paper we make the very first step -- reformulate in this form the previously known formulas for the simplest non-rectangular representations [r,1] and demonstrate their drastic simplification after this reformulation.

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A. Morozov. 2019-03-01. Extension of KNTZ trick to non-rectangular representations. https://doi.org/10.1016/j.physletb.2019.05.016

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