## Abstract

We study the propagation of bosonic strings in singular target space-times. For describing this, we assume this target space to be the quotient of a smooth manifold M by a singular foliation on it. Using the technical tool of a gauge theory, we propose a smooth functional for this scenario, such that the propagation is assured to lie in the singular target on-shell, i.e., only after taking into account the gauge-invariant content of the theory. One of the main new aspects of our approach is that we do not limit to be generated by a group action. We will show that, whenever it exists, the above gauging is effectuated by a single geometrical and universal gauge theory, whose target space is the generalized tangent bundle TM circle plus T*M.

Original language | English |
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Pages (from-to) | 2641-2692 |

Number of pages | 52 |

Journal | Annales Henri Poincaré |

Volume | 18 |

Issue number | 8 |

DOIs | |

Publication status | Published - Aug-2017 |

## Keywords

- SIGMA-MODELS
- SYMMETRIES
- DIMENSIONS
- ORBIFOLDS
- MANIFOLDS
- GEOMETRY