An orbifold theory of genus zero associated to the sporadic group \(M_{24}\)

DOI10.1007/BF02108807zbMath0835.20027OpenAlexW1986650240MaRDI QIDQ1330938

Geoffrey Mason, Chongying Dong

Publication date: 10 August 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02108807

zbMATH Keywords

sporadic simple groupsorbifoldspartition functionsroot systemsgroup of automorphismsbosonic conformal field theorygenus zero propertylattice of rank 24

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relationship to Lie algebras and finite simple groups (11F22)

Related Items (3)

On the discrete groups of Moonshine ⋮ Notes on the K3 Surface and the Mathieu GroupM₂₄ ⋮ Mathieu twining characters for \(K3\)

Cites Work

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• Frame-shapes and rational characters of finite groups
• Beauty and the beast: Superconformal symmetry in a monster module
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• Monstrous moonshine from orbifolds
• Nonabelian orbifolds and the boson-fermion correspondence
• Monstrous moonshine and monstrous Lie superalgebras
• On McKay’s conjecture
• On a system of elliptic modular forms attached to the large Mathieu group
• Vertex algebras, Kac-Moody algebras, and the Monster
• Monstrous Moonshine
• 𝐺-elliptic systems and the genus zero problem for 𝑀₂4

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