Lowest-energy representations of non-centrally extended diffeomorphism algebras

Abstract

We describe a class of non-central extensions of the diffeomorphism algebra in N-dimensional spacetime, and construct lowest-energy modules thereof, thus generalizing work of Eswara-Rao and Moody. There is one representation for each representation of Vir\ltimes_{k_0}\km{gl(N)} (an extension of the semi-direct product). Similar modules are constructed for gauge algebras.Comment: Minor changes in published version. 13 pages, Late