The McKay-Thompson series of some elements of order 3, 5, and 7 in the monster

摘要

In this article, we explicitly calculate the McKay-Thompson series corresponding to 3A, 7A, 3B, 5B and 15C elements of the Monster simple group by using the framed VOA structure of the Moonshine VOA and automorphisms which permute 48 mutually orthogonal rational conformal vectors with central charge 1/2. References: 13