Twisted affine Lie superalgebras and integrability

Abstract

A twisted affine Lie superalgebra is either a twisted affine Lie algebra or of one of the types (Formula presented.) ((Formula presented.) (Formula presented.)), (Formula presented.) or (Formula presented.) ((Formula presented.)). It is known that irreducible integrable highest weight modules over a twisted affine Lie superalgebra of type X do not exist if (Formula presented.) In this paper, we show that nonzero level irreducible integrable finite weight modules over a twisted affine Lie superalgebra of type X do not exist if (Formula presented.). © 2024 Taylor & Francis Group, LLC.