## Abstract

We study the theory of c=1 torus and ℤ_{2}-orbifold models on general Riemann surfaces. The operator content and occurrence of multi-critical points in this class of theories is discussed. The partition functions and correlation functions of vertex operators and twist fields are calculated using the theory of double covered Riemann surfaces. It is shown that orbifold partition functions are sensitive to the Torelli group. We give an algebraic construction of the operator formulation of these nonchiral theories on higher genus surfaces. Modular transformations are naturally incorporated as canonical transformations in the Hilbert space.

Original language | English (US) |
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Pages (from-to) | 649-690 |

Number of pages | 42 |

Journal | Communications In Mathematical Physics |

Volume | 115 |

Issue number | 4 |

DOIs | |

State | Published - Dec 1988 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics