Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics

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K3 Surfaces, N=4 Dyons, and the Mathieu Group M24 (2010, background): “[1], for example, for a review of the topic.”
Three-Dimensional Gravity Revisited (2007, background): “See [45] for an introduction to Hecke operators and [29,30] for their use in the present subject.”
Mathieu Moonshine in the elliptic genus of K3 (2010, background): “he character with the insertion of the group element g, which has good modular properties based on standard orbifold arguments. For a review of these and other aspects of Monstrous Moonshine see e.g. [6]. By analogy to (1.1) the observation of [1] suggests that the states that contribute to the elli”