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 Virk0gl(N) (an extension of the semi-direct product). Similar modules are constructed for gauge algebras.
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