Super vertex algebras, meromorphic Jacobi forms and umbral moonshine

DOI10.1016/j.jalgebra.2018.08.017zbMath1412.11071arXiv1705.09333OpenAlexW2617277773WikidataQ129321097 ScholiaQ129321097MaRDI QIDQ1794078

Andrew O'Desky, John F. R. Duncan

Publication date: 15 October 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09333

zbMATH Keywords

vertex algebrasumbral moonshinemock modular forms

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Vertex operators; vertex operator algebras and related structures (17B69) Forms of half-integer weight; nonholomorphic modular forms (11F37) Applications of Lie (super)algebras to physics, etc. (17B81) Jacobi forms (11F50) Applications of group representations to physics and other areas of science (20C35)

Related Items

Proof of the umbral moonshine conjecture ⋮ Derived equivalences of K3 surfaces and twined elliptic genera ⋮ A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ Moonshine ⋮ Generalised umbral moonshine ⋮ On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras ⋮ \(K3\) elliptic genus and an umbral moonshine module ⋮ A Borcherds-Kac-Moody superalgebra with Conway symmetry ⋮ Meromorphic Jacobi forms of half-integral index and umbral moonshine modules ⋮ Quasimodular moonshine and arithmetic connections

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Umbral moonshine and the Niemeier lattices
• Proof of the umbral moonshine conjecture
• Derived equivalences of K3 surfaces and twined elliptic genera
• Much ado about Mathieu
• Umbral moonshine
• No more walls! A tale of modularity, symmetry, and wall crossing for 1/4 BPS dyons
• \(K3\) surfaces, \({\mathcal N}=4\) dyons and the Mathieu group \(M_{24}\)
• A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra
• Super-moonshine for Conway's largest sporadic group
• Introduction to vertex operator algebras and their representations
• Monstrous moonshine and monstrous Lie superalgebras
• Mathieu twining characters for \(K3\)
• Mathieu moonshine in the elliptic genus of K3
• Symmetries of \(K3\) sigma models
• On Rademacher sums, the largest Mathieu group and the holographic modularity of moonshine
• The umbral moonshine module for the unique unimodular Niemeier root system
• THE MOONSHINE MODULE FOR CONWAY’S GROUP
• A natural representation of the Fischer-Griess Monster with the modular function J as character
• Monstrous Moonshine
• Finite Groups and Modular Functions
• Some Numerology between the Fischer-Griess Monster and the Elliptic Modular Function
• Self-dual vertex operator superalgebras and superconformal field theory
• Notes on the K3 Surface and the Mathieu GroupM₂₄
• Weight one Jacobi forms and umbral moonshine