2021/09/20 by Duncan, John F. R., Harvey, Jeffrey A., Rayhaun, Brandon C.
#11F22 #11F27 #11F37 #11F50 #20C34 #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2109.09756
As Mathieu moonshine is a special case of umbral moonshine, Thompson moonshine (in half-integral weight) is a special case of a family of similar relationships between finite groups and vector-valued modular forms of a certain kind. We call this penumbral moonshine. We introduce and explain some features of this phenomenon in this work.