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Universality in Chern-Simons theory

High Energy Physics - Theory 2015-06-04 v2 Mathematical Physics math.MP

Abstract

We show that the perturbative part of the partition function in the Chern-Simons theory on a 3-sphere as well as the central charge and expectation value of the unknotted Wilson loop in the adjoint representation can be expressed in terms of the universal Vogel's parameters α,β,γ.\alpha, \beta, \gamma. The derivation is based on certain generalisations of the Freudenthal-de Vries strange formula.

Keywords

Cite

@article{arxiv.1203.0766,
  title  = {Universality in Chern-Simons theory},
  author = {Ruben L. Mkrtchyan and Alexander P. Veselov},
  journal= {arXiv preprint arXiv:1203.0766},
  year   = {2015}
}

Comments

Slightly revised version with minor corrections

R2 v1 2026-06-21T20:28:47.926Z