Automorphisms of Niemeier lattices for Miyamoto's Z₃-orbifold construction

الأصل · EN

We classify, up to conjugation, all automorphisms of Niemeier lattices to which we can apply Miyamoto's orbifold construction. Using this classification, we prove that the VOAs obtained in [M] and [SS] are all of holomorphic non-lattice VOAs which we can obtain by applying the Z₃-orbifold construction to a Niemeier lattice and its automorphism.