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

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 grade...

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Bibliographic Details
Published in:Communications in mathematical physics 2019-09, Vol.370 (3), p.759-780
Main Authors: Cheng, Miranda C. N., Duncan, John F. R.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Complex Systems
Integrals
Mathematical and Computational Physics
Mathematical Physics
Modules
Operators (mathematics)
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Summary: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-019-03540-2