Integrable modules for loop affine-Virasoro algebra

Abstract

In this paper we classify the irreducible integrable modules for the loop affine-Virasoro algebra $((\stackrel{\circ }{\mathfrak{g}}\otimes \mathbb{C}[t,t^{-1}]\oplus \mathbb{C}K)⋊\text{Vir})\otimes A$, where $A$ is a finitely generated commutative associative algebra with unity.

26 Pages, Comments are welcome