Intertwining operators and modular invariance

2000/10/18 by Masahiko Miyamoto, Miyamoto, Masahiko
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0010180

LaTex-file 25 pages

arxiv created 2000/10/18 · openalex publication_date 2000/10/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Local systems of vertex operators, vertex superalgebras and modules

Related

• Orbifold Zhu theory associated to intertwining operators
• Vertex Operator Superalgebras and Odd Trace Functions
• Modular invariance of (logarithmic) intertwining operators
• Logarithmic intertwining operators and associative algebras
• A modular invariance on the theta functions defined on vertex operator algebras