Title: On orbifold constructions associated with the Leech lattice vertex operator algebra
Abstract: 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 A 3,4 3 A 1,2 , A 4,5 2 , D 4,12 A 2,6 , A 6,7 , A 7,4 A 1,1 3 , D 5,8 A 1,2 or D 6,5 A 1,1 2 by using the reverse orbifold construction. Our result also provides alternative constructions of these vertex operator algebras (except for the case A 6,7 ) from the Leech lattice vertex operator algebra.