Simple Harish-Chandra modules over the super affine-Virasoro algebras

Abstract

In this paper, we classify all simple Harish-Chandra modules over the super affine-Virasoro algebra 1) is the tensor superalgebra of the Laurent polynomial algebra in even variable t and the Grassmann algebra in odd variable ξ, W is the Lie superalgebra of superderivations of A, and g is a finite-dimensional perfect Lie superalgebra.