Characterizing moonshine functions by vertex-operator-algebraic conditions

DOI10.3842/SIGMA.2018.114zbMath1440.11058arXiv1712.10160MaRDI QIDQ1616750

Takahiro Komuro, Scott Carnahan, Satoru Urano

Publication date: 7 November 2018

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.10160

zbMATH Keywords

vertex operator algebraorbifoldmodular functionmoonshine

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

• Rademacher sums, moonshine and gravity
• Monstrous BPS-algebras and the superstring origin of moonshine
• The genus-zero problem for \(n| h\)-type groups
• On the relationship between Monstrous Moonshine and the uniqueness of the Moonshine module
• Modular equations and the genus zero property of moonshine functions
• 51 constructions of the moonshine module
• Monstrous moonshine and monstrous Lie superalgebras
• Construction and classification of holomorphic vertex operator algebras
• Generalized moonshine. II: Borcherds products
• Monstrous Moonshine
• BPS algebras, genus zero and the heterotic Monster
• On the discrete groups of Moonshine
• Congruence Subgroups of Groups Commensurable with PSL (2, Z) of Genus 0 and 1
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.
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