On orbifold constructions associated with the Leech lattice vertex operator algebra
2018 ◽
Vol 168
(2)
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pp. 261-285
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AbstractIn this paper, we study orbifold constructions associated with the Leech lattice vertex operator algebra. As an application, we prove that the structure of a strongly regular holomorphic vertex operator algebra of central charge 24 is uniquely determined by its weight one Lie algebra if the Lie algebra has the type A3,43A1,2, A4,52, D4,12A2,6, A6,7, A7,4A1,13, D5,8A1,2 or D6,5A1,12 by using the reverse orbifold construction. Our result also provides alternative constructions of these vertex operator algebras (except for the case A6,7) from the Leech lattice vertex operator algebra.
2020 ◽
Vol 224
(3)
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pp. 1241-1279
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2016 ◽
Vol 106
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pp. 1575-1585
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1998 ◽
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pp. 343-361
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Vol 2020
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pp. 2145-2204
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pp. 327-355
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Vol 30
(10)
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pp. 1950048
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