Lowest-energy representations of non-centrally extended diffeomorphism algebras

Details Lowest-energy representations of non-centrally extended diffeomorphism algebras Lowest-energy representations of non-centrally extended diffeomorphism algebras

1997-05-27

arxiv.org/abs/physics/9705040v3

Commun. Math. Phys. 201, 461--470 (1999)

Physics

Mathematical Physics

Minor changes in published version. 13 pages, Latex

Scientific paper

10.1007/s002200050563

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.

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