### 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) |
---|---|

Pages (from-to) | 482-494 |

Number of pages | 13 |

Journal | Nuclear Physics B |

Volume | 199 |

Issue number | 3 |

DOIs | |

State | Published - Jun 7 1982 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

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

**Unified geometry of antisymmetric tensor gauge fields and gravity.** / Freund, Peter G C; Nepomechie, Rafael.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 199, no. 3, pp. 482-494. https://doi.org/10.1016/0550-3213(82)90356-X

}

TY - JOUR

T1 - Unified geometry of antisymmetric tensor gauge fields and gravity

AU - Freund, Peter G C

AU - Nepomechie, Rafael

PY - 1982/6/7

Y1 - 1982/6/7

N2 - 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(Ωr-1M,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(Ω1M,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.

AB - 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(Ωr-1M,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(Ω1M,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.

UR - http://www.scopus.com/inward/record.url?scp=0000346238&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000346238&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(82)90356-X

DO - 10.1016/0550-3213(82)90356-X

M3 - Article

AN - SCOPUS:0000346238

VL - 199

SP - 482

EP - 494

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -