Mathieu Moonshine and the Geometry of K3 Surfaces
Abstract
We compare the moonshine observation of Eguchi, Ooguri and Tachikawa relating the Mathieu group M24 and the complex elliptic genus of a K3 surface with the symmetries of geometric structures on K3 surfaces. Two main results are that the complex elliptic genus of a K3 surface is a virtual module for the Mathieu group M24 and also for a certain vertex operator superalgebra VG where G is the holonomy group.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.