Affine super Yangians and deformed double current superalgebras

Abstract

We extend to the super Yangian of the special linear Lie superalgebra ${\mathfrak{sl}}_{m|n}$ and its affine version certain results related to Schur-Weyl duality. We do the same for the deformed double current superalgebra of ${\mathfrak{sl}}_{m|n}$, which is introduced here for the first time.