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arXiv · 1402.2973

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

Timm Wrase
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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$_{24}$.

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Timm Wrase. 2014-02-12. Mathieu moonshine in four dimensional $\mathcal{N}=1$ theories. https://doi.org/10.1007/jhep04(2014)069

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