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Torus knots in adjoint representation

Andrei Mironov1,2,3,* and Vivek Kumar Singh4,†

  • *Contact author: mironov@lpi.ru; mironov@itep.ru
  • †Contact author: vks2024@nyu.edu
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Phys. Rev. D 114, 046004 – Published 4 August, 2026

DOI: https://doi.org/10.1103/ncsr-z788

Abstract

We derive a closed-form expression for the adjoint polynomials of torus knots and investigate their special properties. The results are presented in the very explicit double sum form and provide a deeper insight into the structure of adjoint invariants essential for the Vogel’s universality of Chern-Simons theory.

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References (26)

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Phys. Rev. D 114, 046004– Published 4 August, 2026
  • Received 22 January 2026
  • Accepted 13 July 2026
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