Construction and classification of holomorphic vertex operator algebras

@article{vanEkeren2020ConstructionAC,
  title={Construction and classification of holomorphic vertex operator algebras},
  author={Jethro van Ekeren and Sven M{\"o}ller and Nils R. Scheithauer},
  journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
  year={2020},
  volume={2020},
  pages={61 - 99}
}
Abstract We develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator algebras. Then we show that Schellekens’ classification of V1{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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