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2017 The umbral moonshine module for the unique unimodular Niemeier root system
John Duncan, Jeffrey Harvey
Algebra Number Theory 11(3): 505-535 (2017). DOI: 10.2140/ant.2017.11.505

Abstract

We use canonically twisted modules for a certain super vertex operator algebra to construct the umbral moonshine module for the unique Niemeier lattice that coincides with its root sublattice. In particular, we give explicit expressions for the vector-valued mock modular forms attached to automorphisms of this lattice by umbral moonshine. We also characterize the vector-valued mock modular forms arising, in which four of Ramanujan’s fifth-order mock theta functions appear as components.

Citation

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John Duncan. Jeffrey Harvey. "The umbral moonshine module for the unique unimodular Niemeier root system." Algebra Number Theory 11 (3) 505 - 535, 2017. https://doi.org/10.2140/ant.2017.11.505

Information

Received: 27 January 2015; Revised: 5 October 2016; Accepted: 18 December 2016; Published: 2017
First available in Project Euclid: 19 October 2017

zbMATH: 06722474
MathSciNet: MR3649360
Digital Object Identifier: 10.2140/ant.2017.11.505

Subjects:
Primary: 17B69
Secondary: 11F22, 11F37

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.11 • No. 3 • 2017
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