Comments on M$_{24}$ representations and $CY_3$ geometries

Natalie M. Paquette; Timm Wrase

doi:10.1007/jhep11(2014)155

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arXiv · 1409.1540

Comments on M$_{24}$ representations and $CY_3$ geometries

Natalie M. Paquette·Timm Wrase

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Abstract

We show using string dualities that Mathieu moonshine controls Gromov-Witten invariants and periods of the holomorphic 3-form $Ω$ for certain $CY_3$ manifolds. We also discuss how the period vectors appear in flux compactifications on these $CY_3$ manifolds and work out the connection between the sporadic group M$_{24}$ and the Yukawa couplings in four dimensional theories that arise from heterotic string theory compactifications on these $CY_3$ manifolds.

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Natalie M. Paquette, Timm Wrase. 2014-12-06. Comments on M$_{24}$ representations and $CY_3$ geometries. https://doi.org/10.1007/jhep11(2014)155

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