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Simple currents and extensions of vertex operator algebras

Chongying Dong·Haisheng Li·Geoffrey Mason
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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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BibTeXRIS

Chongying Dong, Haisheng Li, Geoffrey Mason. 1995-04-19. Simple currents and extensions of vertex operator algebras. https://doi.org/10.1007/bf02099628

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