Characters of topological \(N=2\) vertex algebras are Jacobi forms on the moduli space of elliptic supercurves

DOI10.1016/j.aim.2016.05.018zbMath1400.17013arXiv1405.6128OpenAlexW2963136174MaRDI QIDQ317331

Jethro van Ekeren, Reimundo Heluani

Publication date: 30 September 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6128

zbMATH Keywords

elliptic curvesJacobi formsmodular invariancevertex algebraschiral algebrassupercurves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Relationship to Lie algebras and finite simple groups (11F22) Vertex operators; vertex operator algebras and related structures (17B69) Supervarieties (14M30) Elliptic curves (14H52) Jacobi forms (11F50) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (6)

A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ Graph schemes, graph series, and modularity ⋮ One-point theta functions for vertex operator algebras ⋮ Zhu reduction for Jacobi $n$-point functions and applications ⋮ Modularity of relatively rational vertex algebras and fusion rules of principal affine \(W\)-algebras ⋮ Li filtrations of SUSY vertex algebras

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