The Largest Mathieu Group and (Mock) Automorphic Forms
arXiv:1201.4140
Abstract
We review the relationship between the largest Mathieu group and various modular objects, including recent progress on the relation to mock modular forms. We also review the connections between these mathematical structures and string theory on K3 surfaces.
32 pages, 7 tables, 1 figure, submitted to the AMS Proceedings of Symposia in Pure Mathematics (String-Math 2011)
References in corpus (8)
- Mock Theta Functions
- Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
- Mathieu twining characters for K3
- Comments on the Spectrum of CHL Dyons
- Spectrum of Dyons and Black Holes in CHL orbifolds using Borcherds Lift
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Cited by in corpus (8)
- BKM Lie superalgebras from counting twisted CHL dyons -- II
- Mathieu Moonshine and Orbifold K3s
- Proof of the Umbral Moonshine Conjecture
- Second Quantized Mathieu Moonshine
- On the elliptic genera of manifolds of Spin(7) holonomy
- BPS Spectra, Barcodes and Walls
- Vertex operator superalgebra/sigma model correspondences: The four-torus case
- TASI Lectures on Moonshine