Intertwining operators and modular invariance
Masahiko Miyamoto (University of Tsukuba)
TL;DR
This paper extends the modular invariance property from vertex operator algebra trace functions to those involving intertwining operators, broadening the understanding of symmetry in algebraic structures.
Contribution
It introduces a generalization of Zhu's modular invariance theory to include trace functions of intertwining operators.
Findings
Extended modular invariance to intertwining operator trace functions
Broadened the scope of Zhu's theory in vertex operator algebras
Provided new tools for studying algebraic symmetries
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons