Simple currents and extensions of vertex operator algebras
نویسندگان
چکیده
We consider how a vertex operator algebra can be extended to an abelian intertwining algebra by a family of weak twisted modules which are 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 E8) and to get various extensions of the vertex operator algebras associated with integrable representations.
منابع مشابه
Module categories of simple current extensions of vertex operator algebras
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