MODULARITY ON VERTEX OPERATOR ALGEBRAS ARISING FROM SEMISIMPLE PRIMARY VECTORS

DOI10.1142/S0129167X04002193zbMath1052.17018arXivmath/0209026OpenAlexW2079979710MaRDI QIDQ4809772

Hiroshi Yamauchi

Publication date: 30 August 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209026

zbMATH Keywords

vertex operator algebras

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (8)

Modularity in orbifold theory for vertex operator superalgebras ⋮ Three equivalent rationalities of vertex operator superalgebras ⋮ Module categories of simple current extensions of vertex operator algebras. ⋮ Modularity of \(n\)-point functions and theta functions for vertex operator superalgebras ⋮ Ordered spanning sets for quasimodules for Möbius vertex algebras ⋮ Spanning sets for Möbius vertex algebras satisfying arbitrary difference conditions ⋮ One-point theta functions for vertex operator algebras ⋮ Constructing tensor products of modules for \(C_2\)-cofinite vertex operator superalgebras

Cites Work

• The operator algebra of orbifold models
• Symmetric invariant bilinear forms on vertex operator algebras
• The physics superselection principle in vertex operator algebra theory
• Twisted representations of vertex operator algebras
• Orbifold Zhu theory associated to intertwining operators.
• A spanning set for VOA modules.
• A modular invariance on the theta functions defined on vertex operator algebras
• ON ABELIAN COSET GENERALIZED VERTEX ALGEBRAS
• Modular invariance of characters of vertex operator algebras
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

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