The shifted Yangian identification for $Y^{\mu}(\mathfrak{g})$

Let $\mathfrak{g}$ be the Lie algebra under consideration, let $\mu$ be the corresponding shift, and let $Y^{\mu}(\mathfrak{g})$ be the associative algebra defined by the RLL relation, the extra relations from vertices between Wilson lines, and the boundary condition at $z=\infty$. The shifted Yangian identification. The algebra $Y^{\mu}(\mathfrak{g})$ is isomorphic to the antidominant shifted Yangian. The identification relates the algebra defined by the line-defect construction to the standard algebraic presentation of the antidominant shifted Yangian.