Weight one Jacobi forms and umbral moonshine

DOI10.1088/1751-8121/aaa819zbMath1436.11052arXiv1703.03968OpenAlexW2595587253MaRDI QIDQ5374112

Miranda C. N. Cheng, John F. R. Duncan, Jeffrey A. Harvey

Publication date: 6 April 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03968

zbMATH Keywords

Jacobi formsWeil representationsumbral moonshine

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Jacobi forms (11F50)

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, Mock modular Mathieu moonshine modules, Supersingular elliptic curves and moonshine, Generalised umbral moonshine, Elliptic curves and Thompson's sporadic simple group, Attractive strings and five-branes, skew-holomorphic Jacobi forms and moonshine, Symmetries of Calabi-Yau prepotentials with isomorphic flops, Modular products and modules for finite groups, \(K3\) elliptic genus and an umbral moonshine module, Super vertex algebras, meromorphic Jacobi forms and umbral moonshine, From the Monster to Thompson to O’Nan, A Borcherds-Kac-Moody superalgebra with Conway symmetry

Cites Work

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• Umbral moonshine and the Niemeier lattices
• Proof of the umbral moonshine conjecture
• Moonshine
• Much ado about Mathieu
• Modular forms of orthogonal type and Jacobi theta-series
• Generalized Mathieu Moonshine
• Borcherds products everywhere
• Umbral moonshine
• A proof of the Thompson moonshine conjecture
• Jacobi forms of higher index and paramodular groups in \( \mathcal{N} = 2\), \(D= 4\) compactifications of string theory
• A remark on a paper of Ibukiyama and Skoruppa
• Automorphic forms with singularities on Grassmannians
• Über ein Analogon zur Vermutung von Saito-Kurokawa. (On an analogue to the Saito-Kurokawa conjection)
• A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2
• Siegelsche Modulfunktionen
• The elliptic genus of Calabi-Yau 3- and 4-folds, product formulae and generalized Kac-Moody algebras
• Perturbative gravitational couplings and Siegel modular forms in \(D = 4, N = 2\) string models
• On two geometric theta lifts
• Monstrous moonshine and monstrous Lie superalgebras
• On Rademacher sums, the largest Mathieu group and the holographic modularity of moonshine
• A vanishing theorem for Siegel modular forms of weight one
• Definite quadratische Formen der Dimension 24 und Diskriminante 1
• On modular forms of half integral weight
• Generalised umbral moonshine
• COMPUTATIONS OF SPACES OF PARAMODULAR FORMS OF GENERAL LEVEL
• Rademacher Sums and Rademacher Series
• Siegel modular forms of genus 2 with the simplest divisor
• A natural representation of the Fischer-Griess Monster with the modular function J as character
• Jacobi forms of critical weight and Weil representations
• Monstrous Moonshine
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
• Arithmetical lifting and its applications
• THE CUSP STRUCTURE OF THE PARAMODULAR GROUPS FOR DEGREE TWO