Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8186708 | Physics Letters B | 2018 | 8 Pages |
Abstract
We begin the systematic study of knot polynomials for the twist satellites of a knot, when its strand is substituted by a 2-strand twist knot. This is a generalization of cabling (torus satellites), when the substitute of the strand was a torus knot. We describe a general decomposition of satellite's colored HOMFLY in those of the original knot, where contributing are adjoint and other representations from the “E8-sector”, what makes the story closely related to Vogel's universality. We also point out a problem with lifting the decomposition rule to the level of superpolynomials - it looks like such rule, if any, should be different for positive and negative twistings.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
A. Morozov,