Representations of the BMS-Kac-Moody algebra

Abstract

We investigate the BMS-Kac-Moody algebra L with two u(1) Kac-Moody currents without central extensions. We give a construction of simple restricted modules generalizing both highest weight modules and Whittaker modules for L. More precisely, we establish a 1-1 correspondence between simple restricted L-modules and simple modules of a family of finite-dimensional solvable Lie algebras associated to L. Also, we present several equivalent descriptions for simple restricted modules over L.