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• W3209511666 endingPage "136727" @default.
• W3209511666 startingPage "136727" @default.
• W3209511666 abstract "A group-theoretical structure in a perturbative expansion of the Wilson loops in the 3d Chern-Simons theory with $SU(N)$ gauge group is studied in symmetric approach. A special basis in the center of the universal enveloping algebra $ZU(mathfrak{sl}_N)$ is introduced. This basis allows one to present group factors in an arbitrary irreducible finite-dimensional representation. Developed methods have wide applications, the most straightforward and evident ones are mentioned. Namely, Vassiliev invariants of higher orders are computed, a conjecture about existence of new symmetries of the colored HOMFLY polynomials is stated, and the recently discovered tug-the-hook symmetry of the colored HOMFLY polynomial is proved." @default.
• W3209511666 created "2021-11-08" @default.
• W3209511666 creator A5005845374 @default.
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• W3209511666 date "2021-12-01" @default.
• W3209511666 modified "2023-10-17" @default.
• W3209511666 title "Chern-Simons perturbative series revisited" @default.
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• W3209511666 doi "https://doi.org/10.1016/j.physletb.2021.136727" @default.
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