### Abstract

Vector gauge fields are known to be related to connections on principal fibre bundles P(M,G) over space-time M. Here we relate abelian antisymmetric tensor gauge fields of rank r to constrained connections on P(Ω_{r-1}M,U(1)), the U(1) bundles over the space of all (r-1)-dimensional closed submanifolds of M. In particular, the Kalb-Ramond field (r=2) is seen as such a connection on the bundle over the space of all loops in space-time. Moreover, a Kaluza-Jordan construction on P(Ω_{1}M,U(1)) leads to the bosonic sector of the N = 1 supergravity action in ten dimensions. This result is highly reminiscent of the α′→ 0 limit of the closed string dual model.

Original language | English (US) |
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Pages (from-to) | 482-494 |

Number of pages | 13 |

Journal | Nuclear Physics, Section B |

Volume | 199 |

Issue number | 3 |

DOIs | |

State | Published - Jun 7 1982 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section B*,

*199*(3), 482-494. https://doi.org/10.1016/0550-3213(82)90356-X