Lowest-energy representations of non-centrally extended diffeomorphism algebras

T. A. Larsson

doi:10.1007/s002200050563

Lowest-energy representations of non-centrally extended diffeomorphism algebras

Mathematical Physics 2009-10-30 v3 High Energy Physics - Theory math.MP Quantum Algebra q-alg

Authors: T. A. Larsson

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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.

Keywords

diffeomorphism algebra non-central extension lowest-energy representation virasoro algebra gauge algebra modules

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@article{arxiv.physics/9705040,
  title  = {Lowest-energy representations of non-centrally extended diffeomorphism algebras},
  author = {T. A. Larsson},
  journal= {arXiv preprint arXiv:physics/9705040},
  year   = {2009}
}

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Minor changes in published version. 13 pages, Latex

Lowest-energy representations of non-centrally extended diffeomorphism algebras

Abstract

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