dorsal/arxiv
View SchemaSimple currents and extensions of vertex operator algebras
| Authors | Chongying Dong, Haisheng Li, Geoffrey Mason |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9504008 |
| URL | https://arxiv.org/abs/q-alg/9504008 |
| DOI | 10.1007/BF02099628 |
Abstract
We consider how a vertex operator algebra can be extended to an abelian intertwining algebra by a family of weak twisted modules which are {\em simple currents} associated with semisimple weight one primary vectors. In the case that the extension is again a vertex operator algebra, the rationality of the extended algebra is discussed. These results are applied to affine Kac-Moody algebras in order to construct all the simple currents explicitly (except for $E_8$) and to get various extensions of the vertex operator algebras associated with integrable representations.
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"abstract": "We consider how a vertex operator algebra can be extended to an abelian\nintertwining algebra by a family of weak twisted modules which are {\\em simple\ncurrents} associated with semisimple weight one primary vectors. In the case\nthat the extension is again a vertex operator algebra, the rationality of the\nextended algebra is discussed. These results are applied to affine Kac-Moody\nalgebras in order to construct all the simple currents explicitly (except for\n$E_8$) and to get various extensions of the vertex operator algebras associated\nwith integrable representations.",
"arxiv_id": "q-alg/9504008",
"authors": [
"Chongying Dong",
"Haisheng Li",
"Geoffrey Mason"
],
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"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1007/BF02099628",
"title": "Simple currents and extensions of vertex operator algebras",
"url": "https://arxiv.org/abs/q-alg/9504008"
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