# On orbifold constructions associated with the Leech lattice vertex operator algebra

@article{Lam2018OnOC, title={On orbifold constructions associated with the Leech lattice vertex operator algebra}, author={Ching Hung Lam and Hiroki Shimakura}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, year={2018}, volume={168}, pages={261 - 285} }

Abstract 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…

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