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No cosmological D = 11 supergravity

Bautier, K. and Deser, S. and Henneaux, M. and Seminara, D. (1997) No cosmological D = 11 supergravity. Physics Letters B, 406 (1-2). pp. 49-53. ISSN 0370-2693. https://resolver.caltech.edu/CaltechAUTHORS:20170905-103204046

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/S0370-2693(97)00639-4DOIArticle
http://www.sciencedirect.com/science/article/pii/S0370269397006394PublisherArticle
https://arxiv.org/abs/hep-th/9704131arXivDiscussion Paper
ORCID:
AuthorORCID
Deser, S.0000-0001-9285-9434
Additional Information:© 1997 Published by Elsevier B.V. Received 16 April 1997, Available online 18 February 2000. The work of S.D. and D.S. was supported by NSF grant PHY 93-15811.
Funders:
Funding AgencyGrant Number
NSFPHY 93-15811
Issue or Number:1-2
Record Number:CaltechAUTHORS:20170905-103204046
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170905-103204046
Official Citation:K. Bautier, S. Deser, M. Henneaux, D. Seminara, No cosmological D = 11 supergravity, Physics Letters B, Volume 406, Issues 1–2, 31 July 1997, Pages 49-53, ISSN 0370-2693, https://doi.org/10.1016/S0370-2693(97)00639-4. (http://www.sciencedirect.com/science/article/pii/S0370269397006394)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81132
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Sep 2017 18:10
Last Modified:03 Oct 2019 18:39

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