Unified geometry of antisymmetric tensor gauge fields and gravity

Peter G.C. Freund, Rafael I. Nepomechie

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)482-494
Number of pages13
JournalNuclear Physics, Section B
Issue number3
StatePublished - Jun 7 1982
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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