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-form 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.

No cosmological D = 11 supergravity / K. BAUTIER; S. DESER; M. HENNEAUX; D. SEMINARA. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - STAMPA. - 406(1997), pp. 49-53. [10.1016/S0370-2693(97)00639-4]

No cosmological D = 11 supergravity

SEMINARA, DOMENICO
1997

Abstract

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-form 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.
406
49
53
K. BAUTIER; S. DESER; M. HENNEAUX; D. SEMINARA
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/223018
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