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arXiv · hep-th/9704131

No Cosmological D=11 Supergravity

K. Bautier·S. Deser·M. Henneaux·D. Seminara
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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.

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K. Bautier, S. Deser, M. Henneaux, D. Seminara. 1997-04-17. No Cosmological D=11 Supergravity. https://doi.org/10.1016/s0370-2693(97)00639-4

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