# Global Anomalies in String Theory

Title | Global Anomalies in String Theory |

Publication Type | Conference Proceedings |

Year of Publication | 1985 |

Authors | Witten E |

Conference Name | Symposium on Anomalies, Geometry, Topology |

Volume | 22 |

Date Published | 1985 |

Publisher | World Scientific |

Conference Location | Illinois |

ISBN | 9971-978-69-5 |

Keywords | DIRAC OPERATORS, EXTENDED PARTICLE MODEL, FIELD THEORIES, GRAND UNIFIED THEORY, MATHEMATICAL MODELS, MATHEMATICAL OPERATORS, MATHEMATICAL SPACE, MATHEMATICS, PARTICLE MODELS, QUANTUM FIELD THEORY, QUANTUM OPERATORS, SPACE, STRING MODELS, SUPERSYMMETRY, SYMMETRY, TOPOLOGY, UNIFIED GAUGE MODELS, WILSON LOOP |

Abstract | This paper addresses various questions involving global anomalies in particle theory and string theory. It is shown that the question of whether a manifold is a spin manifold is equivalent to a question about global anomalies in the propagation of a point particle. In the superstring case, it is shown that the measure of the heterotic theory has no global anomalies on any Riemann surface. This generalizes known one loop results. Also, a topological condition is derived which restricts the possible choices of Wilson lines for grand unified symmetry breaking. It is argued that the long-term development of global anomalies in string theory will involve eventual study of global anomalies in the determinant of the Dirac-Ramond operator. |

URL | https://www.sns.ias.edu/sites/default/files/Global_Anomalies-in-String_Theory-1985.pdf |