dorsal/arxiv
View SchemaLowest-energy representations of non-centrally extended diffeomorphism algebras
| Authors | T. A. Larsson |
|---|---|
| Categories | |
| ArXiv ID | physics/9705040 |
| URL | https://arxiv.org/abs/physics/9705040 |
| DOI | 10.1007/s002200050563 |
| Journal | Commun. Math. Phys. 201, 461--470 (1999) |
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.
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"abstract": "We describe a class of non-central extensions of the diffeomorphism algebra\nin N-dimensional spacetime, and construct lowest-energy modules thereof, thus\ngeneralizing work of Eswara-Rao and Moody. There is one representation for each\nrepresentation of $Vir\\ltimes_{k_0}\\km{gl(N)}$ (an extension of the semi-direct\nproduct). Similar modules are constructed for gauge algebras.",
"arxiv_id": "physics/9705040",
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"T. A. Larsson"
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"doi": "10.1007/s002200050563",
"journal_ref": "Commun. Math. Phys. 201, 461--470 (1999)",
"title": "Lowest-energy representations of non-centrally extended diffeomorphism algebras",
"url": "https://arxiv.org/abs/physics/9705040"
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