Mathieu moonshine in four dimensional $\mathcal{N}=1$ theories

Abstract

We show that the recently discovered Mathieu moonshine plays a role for certain four dimensional theories with $\mathcal{N}=1$ supersymmetry. These theories are obtained from the $E_8\times E_8$ heterotic string theory by compactifying on toroidal orbifolds. We find that a universal contribution to the holomorphic gauge kinetic function can be expanded in such a way that the expansion coefficients are the dimensions of representations of the Mathieu group M${}_{24}$.

15 pages

References in corpus (7)

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Cited by in corpus (6)

• Heterotic de Sitter Beyond Modular Symmetry
• Mock Modular Mathieu Moonshine Modules
• On symmetries of N=(4,4) sigma models on T^4
• Comments on M${}_{24}$ representations and $C{Y}_3$ geometries
• Umbral Moonshine and K3 Surfaces
• Calabi-Yau manifolds and sporadic groups