The Umbral Moonshine Module for the Unique Unimodular Niemeier Root System
Representation Theory
2017-06-14 v1 High Energy Physics - Theory
Number Theory
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.
Keywords
Cite
@article{arxiv.1412.8191,
title = {The Umbral Moonshine Module for the Unique Unimodular Niemeier Root System},
author = {John F. R. Duncan and Jeffrey A. Harvey},
journal= {arXiv preprint arXiv:1412.8191},
year = {2017}
}
Comments
39 pages