Monstrous moonshine from orbifolds

DOI10.1007/BF02102629zbMath0815.11023WikidataQ107238877 ScholiaQ107238877MaRDI QIDQ1193029

Michael P. Tuite

Publication date: 27 September 1992

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

zbMATH Keywords

modular groupmodular functionLeech latticebosonic stringThompson seriesmodular invariance groupMonster module constructionMoonshine propertiespower map formulastrictly Leech lattice automorphism elementsvacuum conjectures

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (19)

Modularity in orbifold theory for vertex operator superalgebras ⋮ An orbifold theory of genus zero associated to the sporadic group \(M_{24}\) ⋮ A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ Moonshine ⋮ 𝐺-elliptic systems and the genus zero problem for 𝑀₂4 ⋮ On the relationship between Monstrous Moonshine and the uniqueness of the Moonshine module ⋮ On the discrete groups of Moonshine ⋮ Monstrous string-string duality ⋮ Bootstrapping boundaries and branes ⋮ The moonshine anomaly ⋮ Mathieu twining characters for \(K3\) ⋮ Conformal field theory and elliptic cohomology ⋮ Orbifold constructions and the classification of self-dual \(c=24\) conformal field theories ⋮ Orbifold constructions and the classification of self-dual \(c=24\) conformal field theories ⋮ Elliptic genera and the moonshine module ⋮ Third and higher order NFPA twisted constructions of conformal field theories from lattices ⋮ Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra ⋮ Rational generalised Moonshine from abelian orbifoldings of the Moonshine module ⋮ Some irrational generalised Moonshine from orbifolds

Cites Work

• Generalized Kac-Moody algebras
• Beauty and the beast: Superconformal symmetry in a monster module
• The friendly giant
• Modular invariance and discrete torsion on orbifolds
• Normalisateurs de tores. I: Groupes de Coxeter etendus
• Monstrous Moonshine
• Finite Groups and Modular Functions
• Lectures on Modular Forms. (AM-48)
• Hyperelliptic modular curves
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