Some irrational Generalised Moonshine from orbifolds

Rossen Ivanov, Michael Tuite
2002 Nuclear Physics B  
We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the Harada-Norton, Held, M_12 and L_3(3) simple groups based on certain orbifolding constraints. We find explicitly the fixing groups of the hauptmoduls arising in each case.
doi:10.1016/s0550-3213(02)00319-x fatcat:trsbd57aqngjximajl5fsgllly