Universality in Chern-Simons theory

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. The derivation is based on certain generalisations of the Freudenthal-de Vries strange formula.

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