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arXiv · 1606.08979

Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras

Ching Hung Lam·Hiroki Shimakura
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Abstract

In this article, we develop a general technique for proving the uniqueness of holomorphic vertex operator algebras based on the orbifold construction and its "reverse" process. As an application, we prove that the structure of a strongly regular holomorphic vertex operator algebra of central charge $24$ is uniquely determined by its weight one Lie algebra if the Lie algebra has the type $E_{6,3}G_{2,1}^3$, $A_{2,3}^6$ or $A_{5,3}D_{4,3}A_{1,1}^3$.

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BibTeXRIS

Ching Hung Lam, Hiroki Shimakura. 2016-06-29. Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras. https://arxiv.org/abs/1606.08979

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