Sungjay Lee, KIAS

Theory Seminar

title: Monster Anatomy

abstract:  Mckay and Thompson’s remarkable observation between the Monster group M and the modular objects, especially, the j-invariant, has motivated the study of the so-called `Monstrous Moonshine’. In this talk, we generalize the moonshine phenomena with different sporadic groups such as the baby Monster, Fischer, and Thompson groups and so on. More precisely, we discuss rational conformal field theories where conformal characters exhibit the moonshine for sporadic groups other than the Monster group. To search for such rational conformal field theories, we utilize a holomorphic bilinear relation proposed by Mukhi et al.