Orbifold Zhu theory associated to intertwining operators

2002/01/08 by Hiroshi Yamauchi, Yamauchi, Hiroshi
Mathematics · #17B68 #17B69 #81T40 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B68 #msc:17B69 #msc:81T40

paper · pdf · doi:10.48550/arxiv.math/0201054

Latex2e 27pages, no figure

arxiv created 2002/09/22 · arxiv updated 2009/11/30

Abstract

We study intertwining operators among the twisted modules for rational VOAs and show the modular invariance property of the space spanned by the trace functions concerning to some representations of rational orbifold VOAs. Our result generalizes the results obtained by Dong-Li-Mason and Miyamoto, which are basically extensions of Zhu's celebrated works.

Related

• Intertwining operators and modular invariance
• Modular invariance of (logarithmic) intertwining operators
• Modular invariance of vertex operator algebras satisfying C₂-cofiniteness
• Modularity of trace functions in orbifold theory for Z-graded vertex operator superalgebras
• Modular invariance, characteristic numbers and η invariants