First order formulation and geometrical interpretation of D = 11 supergravity

We present a first order formulation of d = 11 supergravity in terms of an elementary connection field ω μ ij, the vielbein e μ i and gravitino ψ μ α. The lagrangian has a gauge invariance which mixes the base indices μ and tangent indices i, j of the spin connection ω μ ij . The antisymmetric tenso...

Full description

Saved in:
Bibliographic Details
Published in:Physics letters. B 1984-01, Vol.145 (5), p.329-332
Main Authors: Bars, I., Higuchi, A.
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Physics
Quantum gravity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present a first order formulation of d = 11 supergravity in terms of an elementary connection field ω μ ij, the vielbein e μ i and gravitino ψ μ α. The lagrangian has a gauge invariance which mixes the base indices μ and tangent indices i, j of the spin connection ω μ ij . The antisymmetric tensor A μvλ is shown to emerge as part of ω μ ij in the solution of its equation of motion, and to have the geometric meaning of torsion.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(84)90054-6