Finite weight modules over twisted affine Lie superalgebras

Abstract

This work provides the first step toward the classification of irreducible finite weight modules over twisted affine Lie superalgebras. We divide the class of such modules into two subclasses called hybrid and tight. We reduce the classification of hybrid irreducible finite weight modules to the classification of cuspidal modules of finite dimensional cuspidal Lie superalgebras which is discussed in a work of Dimitrov, Mathieu and Penkov.