Superconformal Vertex Algebras and Jacobi Forms
Jethro van Ekeren
TL;DR
This paper explores the connection between superconformal vertex algebras and Jacobi forms, using supergeometry and formal methods, and discusses related topics like Ramanujan's equations for Eisenstein series.
Contribution
It introduces a geometric framework linking superconformal vertex algebras with Jacobi automorphic forms, expanding understanding of their interplay.
Findings
Jacobi forms naturally appear in superconformal vertex algebra theory
Supercurves and formal geometry provide a unifying perspective
Connections to Ramanujan's differential equations for Eisenstein series
Abstract
We discuss the appearance of Jacobi automorphic forms in the theory of superconformal vertex algebras, explaining it by way of supercurves and formal geometry. We touch on related topics such as Ramanujan's differential equations for Eisenstein series.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry