par Henneaux, Marc 
;Bautier, Karin ;Deser, Stanley;Seminara, D.
Référence Physics Letters B, 406, 1, page (49-53)
Publication Publié, 1997-04
;Bautier, Karin ;Deser, Stanley;Seminara, D.Référence Physics Letters B, 406, 1, page (49-53)
Publication Publié, 1997-04
Article révisé par les pairs
| Résumé : | We show, in two complementary ways, that D = 11 supergravity - in contrast to all its lower dimensional versions -forbids a cosmological extension. First, we linearize the putative model about an Anti de Sitter background and show that it cannot even support a "global" supersymmetry invariance; hence there is no Noether construction that can lead to a local supersymmetry. This is true with the usual 4-formn field as well as for a "dual", 7-form, starting point. Second, a cohomology argument, starting from the original full nonlinear theory, establishes the absence of deformations involving spin 3/2 mass and cosmological terms. In both approaches, it is the form field that is responsible for the obstruction. "Dualizing" the cosmological constant to an 11-form field also fails. |
