N=2 Moonshine

Abstract

We construct a model of moonshine phenomenon based on the use of N=2 superconformal algebra. We consider an extremal Jacobi form of weight 0 and index 2, and expand it in terms of N=2 massless and massive representations. We find the multiplicities of massive representations are decomposed into a sum of dimensions of irreducible representations of the group L2(11).

18 pages

References in corpus (11)

• Mock Theta Functions
• Notes on the K3 Surface and the Mathieu group M_24
• Quantum Black Holes, Wall Crossing, and Mock Modular Forms
• Note on Twisted Elliptic Genus of K3 Surface
• Mathieu twining characters for K3
• Mathieu Moonshine in the elliptic genus of K3
• K3 Surfaces, N=4 Dyons, and the Mathieu Group M24
• Liouville Field, Modular Forms and Elliptic Genera
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• Superconformal Algebras and Mock Theta Functions
• N=2 Superconformal Algebra and the Entropy of Calabi-Yau Manifolds

Cited by in corpus (6)

• Notes on generalized global symmetries in QFT
• A K3 sigma model with Z_2^8:M_{20} symmetry
• Gauge Threshold Corrections for N = 2 Heterotic Local Models with Flux, and Mock Modular Forms
• Enriques moonshine
• Calabi-Yau manifolds and sporadic groups
• Algebraic surfaces, Four-folds and Moonshine