17 citations · 31 across the 2 of their papers we have counts for
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A theory of tensor products for vertex operator algebra satsifying C_2-cofiniteness
Masahiko Miyamoto
We reformed the tensor product theory of vertex operator algebras developed by Huang and Lepowsky so that we could apply it to all vertex operator algebras satisfying C_2-cofiniten…
Modular invariance of vertex operator algebras satisfying C_2-cofiniteness
Masahiko Miyamoto
We show that C_2-cofiniteness is enough to prove a modular invariance property of vertex operator algebras without assuming the semisimplicity of Zhu algebra. For example, if a VOA…
Uniform product of A_{g,n}(V) for an orbifold model V and G-twisted Zhu algebra
Masahiko Miyamoto, Kenichiro Tanabe
Let V be a vertex operator algebra and G a finite automorphism group of V. For each g\in G and nonnegative rational number n\in {\mathbb Z}/|g|, a g-twisted Zhu algebra A_{g,n}(V)…
Intertwining operators and modular invariance
Masahiko Miyamoto
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 inter…
A modular invariance on the theta functions defined on vertex operator algebras
Masahiko Miyamoto
We introduce theta-functions of VOA-modules and show that the space spanned by them has a modular invariance property.