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arXiv · 1507.08142

Construction and Classification of Holomorphic Vertex Operator Algebras

Jethro van Ekeren·Sven Möller·Nils R. Scheithauer
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Abstract

We develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator algebras. Then we show that Schellekens' classification of $V_1$-structures of meromorphic conformal field theories of central charge 24 is a theorem on vertex operator algebras. Finally we use these results to construct some new holomorphic vertex operator algebras of central charge 24 as lattice orbifolds.

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BibTeXRIS

Jethro van Ekeren, Sven Möller, Nils R. Scheithauer. 2015-07-29. Construction and Classification of Holomorphic Vertex Operator Algebras. https://doi.org/10.1515/crelle-2017-0046

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