Universality in Chern-Simons theory
Ruben L. Mkrtchyan, Alexander P. Veselov
TL;DR
This paper demonstrates that key quantities in Chern-Simons theory on a 3-sphere can be universally expressed using Vogel's parameters, revealing underlying structural universality.
Contribution
It introduces a universal formulation of the perturbative partition function, central charge, and Wilson loop expectation values in Chern-Simons theory using Vogel's parameters.
Findings
Partition function expressed universally via Vogel's parameters
Central charge formulated in a universal manner
Wilson loop expectation value related to Vogel's parameters
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 The derivation is based on certain generalisations of the Freudenthal-de Vries strange formula.
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