The Yangian identification conjecture for cotangent Lie algebras

Let $\mathfrak{g}$ be a finite-dimensional differential graded Lie algebra and set

$$\mathfrak{d}=T^*\mathfrak{g}.$$

Let $\mathcal A_\hbar(\mathfrak{d},\gamma)$ be the Hopf algebra constructed in the source, and let $Y_\hbar(\mathfrak{d})$ be the Yangian of $\mathfrak{d}$. Yangian identification conjecture. The Hopf algebra $\mathcal A_\hbar(\mathfrak{d},\gamma)$ is isomorphic to $Y_\hbar(\mathfrak{d})$ as a Hopf algebra. This conjecture would identify the algebra arising from the Chern–Simons-inspired construction with the Yangian for every finite-dimensional differential graded Lie algebra; the source presents it as motivated by physical considerations and related work, without claiming a proof.