Chern–Simons universal line defect algebra conjecture

Let $\mathfrak{g}$ be a Lie algebra, let $U(\mathfrak{g})[[{\mathchar'26\mkern-9muh}]]$ be its formal power-series enveloping algebra with standard coproduct $\Delta_0$, let $\Phi$ be the Drinfeld associator, and let $t$ be the Casimir tensor corresponding to the inverse of the Killing form $\kappa$. Chern–Simons line defect algebra conjecture. The universal line defect algebra of Chern–Simons theory is twist-equivalent to the quasitriangular quasi-Hopf algebra

$$U_{{\mathchar'26\mkern-9muh}}(\mathfrak{g})_{\Phi}=\left(U(\mathfrak{g})[[{\mathchar'26\mkern-9muh}]],\Delta_0,R=e^{{\mathchar'26\mkern-9muh} t/2},\Phi({\mathchar'26\mkern-9muh} t_{12},{\mathchar'26\mkern-9muh} t_{23})\right).$$

The claim proposes an all-orders algebraic description of the line defects, while the supplied footnote notes dependence on propagator and renormalization choices and cautions that tree-level calculations alone do not determine the algebra uniquely.