A proof of the Thompson moonshine conjecture

DOI10.1186/s40687-016-0084-7zbMath1417.11040arXiv1607.03078OpenAlexW2466801767WikidataQ59477513 ScholiaQ59477513MaRDI QIDQ504046

Michael H. Mertens, Michael J. Griffin

Publication date: 25 January 2017

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03078

zbMATH Keywords

weakly holomorphic modular formsThompson moonshine conjecture

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Forms of half-integer weight; nonholomorphic modular forms (11F37)

Related Items

A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ Generalised umbral moonshine ⋮ Elliptic curves and Thompson's sporadic simple group ⋮ Modular products and modules for finite groups ⋮ Self-dual vertex operator superalgebras and superconformal field theory ⋮ Weight one Jacobi forms and umbral moonshine ⋮ Conformal field theories with sporadic group symmetry ⋮ Perspectives on mock modular forms ⋮ Higher width moonshine ⋮ Conway subgroup symmetric compactifications of heterotic string ⋮ From the Monster to Thompson to O’Nan ⋮ Ramanujan's influence on string theory, black holes and moonshine

Uses Software

• GAP
• Magma
• SageMath

Cites Work

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