Generalised Umbral Moonshine

Understand

Umbral moonshine describes an unexpected relation between 23 finite groups arising from lattice symmetries and special mock modular forms.

• It includes the Mathieu moonshine as a special case and can itself be viewed as an example of the more general moonshine phenomenon which connects finite groups and distinguished modular objects.
• In this paper we introduce the notion of generalised umbral moonshine, which includes the generalised Mathieu moonshine [Gaberdiel M.R., Persson D., Ronellenfitsch H., Volpato R., Commun.
• Number Theory Phys.