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arxiv: 1612.02117 · v2 · pith:IX42DZ35new · submitted 2016-12-07 · 🧮 math.QA

One-point theta functions for vertex operator algebras

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keywords functionsone-pointthetaalgebrasmodulesoperatorstudiedvertex
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One-point theta functions for modules of vertex operator algebras (VOAs) are defined and studied. These functions are a generalization of the character theta functions studied by Miyamoto and are deviations of the classical one-point functions for modules of a VOA. Transformation laws with respect to the group $\operatorname{SL}_2(\mathbb{Z})$ are established.

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