arXiv physics/97050401997-05math-phhep-thmath.MPmath.QAq-alg

Lowest-energy representations of non-centrally extended diffeomorphism algebras

T. A. Larsson

备注：: Minor changes in published version. 13 pages, Latex
发表信息：: Commun. Math. Phys. 201, 461--470 (1999)
DOI：: 10.1007/s002200050563

英文摘要：

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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