Brewing moonshine for Mathieu

Abstract

We propose a moonshine for the sporadic Mathieu group M_12 that relates its conjugacy classes to various modular forms and Borcherds Kac-Moody Lie superalgebras.

21 pages; LaTeX; no figures

References in corpus (10)

• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Notes on the K3 Surface and the Mathieu group M_24
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Note on Twisted Elliptic Genus of K3 Surface
• Mathieu twining characters for K3
• The Igusa modular forms and ``the simplest'' Lorentzian Kac--Moody algebras
• BKM Lie superalgebras from dyon spectra in Z_N-CHL orbifolds for composite N
• The Siegel modular forms of genus 2 with the simplest divisor
• BKM Lie superalgebras from counting twisted CHL dyons
• BKM Lie superalgebras from counting twisted CHL dyons -- II

Cited by in corpus (6)

• Generalised Mathieu Moonshine
• BPS Saturated String Amplitudes: K3 Elliptic Genus and Igusa Cusp Form
• Mathieu Moonshine and Orbifold K3s
• Enriques moonshine
• Symmetries of K3 sigma models
• Two moonshines for $L_2(11)$ but none for $M_{12}$