Bosonic D=11 supergravity from a generalized Chern-Simons action

Abstract

It is shown that the action of the bosonic sector of D=11 supergravity may be obtained by means of a suitable scaling of the originally dimensionless fields of a generalized Chern-Simons action. This follows from the eleven-form CS-potential of the most general linear combination of closed, gauge invariant twelve-forms involving the sp(32)-valued two-form curvatures supplemented by a three-form field. In this construction, the role of the skewsymmetric four-index auxiliary function needed for the first order formulation of $D=11$ supergravity is played by the gauge field associated with the five Lorentz indices generator of the bosonic sp(32) subalgebra of osp(1|32).

Misprints corrected, to appear in NPB plain latex, no figures, 25 pages

References in corpus (3)

• Expansions of algebras and superalgebras and some applications
• Minimal D=4 supergravity from the superMaxwell algebra
• Contractions from $osp(1|32)\oplus osp(1|32)$ to the M-theory superalgebra extended by additional fermionic generators

Cited by in corpus (1)

• Extended Bargmann FDA and non-relativistic gravity