### Abstract

We analyze the chiral properties of (orbifold) conformal field theories which are obtained from a given conformal field theory by modding out by a finite symmetry group. For a class of orbifolds, we derive the fusion rules by studying the modular transformation properties of the one-loop characters. The results are illustrated with explicit calculations of toroidal and c=1 models.

Original language | English (US) |
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Pages (from-to) | 485-526 |

Number of pages | 42 |

Journal | Communications In Mathematical Physics |

Volume | 123 |

Issue number | 3 |

DOIs | |

State | Published - Sep 1 1989 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Dijkgraaf, R., Vafa, C., Verlinde, E., & Verlinde, H. (1989). The operator algebra of orbifold models.

*Communications In Mathematical Physics*,*123*(3), 485-526. https://doi.org/10.1007/BF01238812