## Abstract

We construct orbifolds of holomorphic lattice vertex operator algebras for non-abelian finite automorphism groups G. To this end, we construct twisted modules for automorphisms g together with the projective representation of the centralizer of g on the twisted module. This allows us to extract the irreducible modules of the fixed-point VOA V^{G}, and to compute their characters and modular transformation properties. We then construct holomorphic VOAs by adjoining such modules to V^{G}. Applying these methods to extremal lattices in d=48 and d=72, we construct more than fifty new holomorphic VOAs of central charge 48 and 72, many of which have a very small number of light states.

Original language | English (US) |
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Pages (from-to) | 656-696 |

Number of pages | 41 |

Journal | Journal of Algebra |

Volume | 585 |

DOIs | |

State | Published - Nov 1 2021 |

## Keywords

- Conformal field theory
- Conformal packing
- Orbifold theory
- Vertex operator algebras

## ASJC Scopus subject areas

- Algebra and Number Theory