976 research outputs found

    Module categories of simple current extensions of vertex operator algebras

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    In this article, we study module categries of simple current extensions of vertex operator algebras. Under certain assumptions, we show that every module for a rational vertex operator algebra be lifted to a twisted module for an extended algebra with an abelian symmetry.Comment: latex 14 pages, version 2: English corrected, version 3: Hypotheis I is proved in Lemma 3.

    2A-orbifold construction and the baby-monster vertex operator superalgebra

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    In this article we prove that the full automorphism group of the baby-monster vertex operator superalgebra constructed by Hoehn is isomorphic to 2xB, where B is the baby-monster sporadic finite simple group and determine irreducible modules for the baby-monster vertex operator algebra. Our result has many corollaries. In particular, we can prove that the Z_2-orbifold construction with respect to a 2A-involution of the Monster applied to the moonshine vertex operator algebra yields the moonshine vertex operator algebra itself again.Comment: v2: Knowing Tuite's work on 2A-orbifold construction of the moonshine vertex operator algebra, we made a remark on it and revised reference

    Vertex operator algebra with two Miyamoto involutions generating S3S_3

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    In this article we study a VOA with two Miyamoto involutions generating S3S_3. In \cite{M3}, Miyamoto showed that a VOA generated by two conformal vectors whose Miyamoto involutions generate an automorphism group isomorphic to S3S_3 is isomorphic to one of the four candidates he listed. We construct one of them and prove that our VOA is actually the same as VA(e,f)\mathrm{VA}(e,f) studied by Miyamoto. We also show that there is an embedding into the moonshine VOA. Using our VOA, we can define the 3A-triality in the Monster.Comment: latex 26pages, new sections on simple current extensions and embedding into the moonshine VOA are adde
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