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On orbifold constructions associated with the Leech lattice vertex operator algebra
Mathematical Proceedings of the Cambridge Philosophical Society ( IF 0.737 ) Pub Date : 2018-09-05 , DOI: 10.1017/s0305004118000658
CHING HUNG LAM; HIROKI SHIMAKURA

In 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.
更新日期:2020-02-11

 

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