Title: Meromorphic Jacobi Forms of Half-Integral Index and Umbral Moonshine Modules,
Abstract: 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.