The umbral moonshine module for the unique unimodular Niemeier root system

被引:11
|
作者
Duncan, John F. R. [1 ]
Harvey, Jeffrey A. [2 ,3 ]
机构
[1] Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA
[2] Univ Chicago, Enrico Fermi Inst, Chicago, IL 60637 USA
[3] Univ Chicago, Dept Phys, Chicago, IL 60637 USA
基金
美国国家科学基金会;
关键词
umbral moonshine; mock theta function; vertex operator algebra; VERTEX ALGEBRAS; TWISTED MODULES; ORBIFOLD THEORY; INVARIANCE; MONSTER;
D O I
10.2140/ant.2017.11.505
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:505 / 536
页数:32
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