Abstract
Let $${Y_{m|n}^{\ell}}$$ be the super Yangian of general linear Lie superalgebra for $${\mathfrak{gl}_{m|n}}$$ . Let $${e \in \mathfrak{gl}_{m\ell|n\ell}}$$ be a “rectangular” nilpotent element and $${\mathcal{W}_e}$$ be the finite W-superalgebra associated to e. We show that $${Y_{m|n}^{\ell}}$$ is isomorphic to $${\mathcal{W}_e}$$ .
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