TL;DR
This paper introduces a new moonshine phenomenon linking the elliptic genus of the Enriques surface with the Mathieu group M12, revealing unexpected symmetries in mathematical structures related to string theory.
Contribution
It uncovers a novel connection between the elliptic genus of the Enriques surface and the Mathieu group M12, expanding the scope of moonshine phenomena.
Findings
Identification of a new moonshine related to Enriques surface
Symmetry group M12 acts on the elliptic genus
Extension of moonshine concepts to new geometric objects
Abstract
We propose a new moonshine phenomenon associated with the elliptic genus of the Enriques surface (1/2 of the elliptic genus of K3) with the symmetry group given by the Mathieu group M12.
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