Meromorphic Jacobi Forms of Half-Integral Index and Umbral Moonshine Modules

Understand

In this work we consider an association of meromorphic Jacobi forms of half-integral index to the pure D-type cases of umbral moonshine, and solve the module problem for four of these cases by constructing vertex operator superalgebras that realise the corresponding meromorphic Jacobi forms as graded traces.

• We also present a general discussion of meromorphic Jacobi forms with half-integral index and their relationship to mock modular forms.