Tight irreducible finite weight modules over twisted affine Lie superalgebras

TL;DR

This paper classifies certain irreducible modules over twisted affine Lie superalgebras, showing they are parabolically induced under specific conditions on the action of real vectors.

Contribution

It provides a classification of tight irreducible weight modules over twisted affine Lie superalgebras with bounded multiplicities, under particular action conditions.

Findings

Modules are parabolically induced if the action of real vectors is neither injective nor locally nilpotent.

Characterization of modules based on the action of nonzero real vectors.

Extension of module classification to twisted affine Lie superalgebras.

Abstract

For a twisted affine Lie superalgebra with nonzero odd part, we study {tight irreducible weight modules} with bounded weight multiplicities and show that if the action of nonzero real vectors of each affine component of the zero part is neither completely injective nor completely locally nilpotent, then these modules are parabolically induced.