Super Duality for Quantum Affine Algebras of Type <i>A</i>

Abstract We introduce a new approach to the study of finite-dimensional representations quantum group affine Lie superalgebra $ \textrm {L}{\mathfrak {g}\mathfrak {l}}_{M|N}=\mathbb {C}[t,t^{-1}]\otimes \mathfrak {l}_{M|N}$ ($M\neq N$). explain how {l}}_{M|N}$ are directly related those algebra type $A$, using an exact monoidal functor called truncation. This can be viewed as analogue super duality $A$.