Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-03-28
PoS WC2004 (2005) 006
Physics
High Energy Physics
High Energy Physics - Theory
Lecture given at the Fourth International Winter Conference on Mathematical Methods in Physics, 09 - 13 August 2004, CBPF, Rio
Scientific paper
The eleven-dimensional gravitational action invariant under local Poincare transformations is given by the dimensional continuation of the Euler class of ten dimensions. Here we show that the supersymmetric extension of this action leads, through the Noether procedure, to a theory with the local symmetry group given by the M-algebra. The fields of the theory are the vielbein, the Lorentz (spin) connection, one gravitino, and two 1-forms which transform as second and fifth rank antisymmetric Lorentz tensors. These fields are components of a single connection for the M-algebra and the supersymmetric Lagrangian can be seen to be a Chern-Simons form. The dynamics has a multiplicity of degenerate vacua without propagating degrees of freedom. The theory is shown to admit solutions of the form S^{10-d} x X_{d+1}, where X_{d+1} is a warped product of R with a d-dimensional spacetime. Among this class, the gravitational effective action describes a propagating graviton only if d=4 and the spacetime has positive cosmological constant. The perturbations around this solution reproduce linearized General Relativity around four-dimensional de Sitter spacetime.
Hassaïne Mokhtar
Troncoso Ricardo
Zanelli Jorge
No associations
LandOfFree
11D Supergravity as a gauge theory for the M-algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with 11D Supergravity as a gauge theory for the M-algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 11D Supergravity as a gauge theory for the M-algebra will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-161600