957 research outputs found
Module categories of simple current extensions of vertex operator algebras
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
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
In this article we study a VOA with two Miyamoto involutions generating
. In \cite{M3}, Miyamoto showed that a VOA generated by two conformal
vectors whose Miyamoto involutions generate an automorphism group isomorphic to
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
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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