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

In this paper, we classify all simple Harish-Chandra modules over the super affine-Virasoro algebra $\widehat{$\mathcal{L}$}=$\mathcal{W}$\ltimes(\mathfrak{g}\otimes $\mathcal{A}$)\oplus $\mathbb{C}$C$,where$$\mathcal{A}$=$\mathbb{C}$[t^{\pm 1}]\otimes\Lambda(1)$ is the tensor superalgebra of the Laurent polynomial algebra in even variable $t$ and the Grassmann algebra in odd variable $\xi$, $\mathcal{W}$ is the Lie superalgebra of superderivations of $\mathcal{A}$, and $\mathfrak{g}$ is a finite-dimensional perfect Lie superalgebra.