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arXiv · 1306.5031

C_2-cofiniteness of cyclic-orbifold models

Masahiko Miyamoto
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Abstract

We prove an orbifold conjecture for a solvable automorphism group. Namely, we show that if V is a C_2-cofinite simple vertex operator algebra and G is a finite solvable automorphism group of V, then the fixed point vertex operator subalgebra V^G is also C_2-cofinite. This offers a mathematically rigorous background to orbifold theories of finite type with solvable automorphism groups.

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BibTeXRIS

Masahiko Miyamoto. 2013-06-21. C_2-cofiniteness of cyclic-orbifold models. https://doi.org/10.1007/s00220-014-2252-1

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