Intertwining operators and modular invariance

Abstract

We extend the modular invariance property of the trace functions of vertex operator algebra on the set of irreducible modules (Zhu's theory) to the case of trace functions of intertwining operators.

LaTex-file 25 pages

References in corpus (1)

• Modular invariance of trace functions in orbifold theory

Cited by in corpus (15)

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• Logarithmic Intertwining Operators and Genus-One Correlation Functions
• Modular differential equations for torus one-point functions
• Rigidity and modularity of vertex tensor categories
• Differential equations, duality and modular invariance
• Vertex operator algebras, fusion rules and modular transformations
• A modular invariance property of multivariable trace functions for regular vertex operator algebras
• On rationality for $C_2$-cofinite vertex operator algebras
• Vertex operator algebras and the Verlinde conjecture
• Differential equations and conformal field theories
• Intertwining operators and vector-valued modular forms for minimal models
• Modularity on vertex operator algebras arising from semisimple primary vectors
• Orbifold Zhu theory associated to intertwining operators