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M-theory backgrounds with 30 Killing spinors are maximally supersymmetric

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Abstract

We show that all M-theory backgrounds which admit more than 29 Killing spinors are maximally supersymmetric. In particular, we find that the supercovariant curvature of all backgrounds which preserve 30 supersymmetries, subject to field equations and Bianchi identities, vanishes, and that there are no such solutions which arise as discrete quotients of maximally supersymmetric backgrounds.

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Authors and Affiliations

  1. Fundamental Physics, Chalmers University of Technology, SE-412 96, Göteborg, Sweden

    U. Gran

  2. Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, U.K.

    J. Gutowski & G. Papadopoulos

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  1. U. Gran
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  2. J. Gutowski
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  3. G. Papadopoulos
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Correspondence to J. Gutowski.

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Gran, U., Gutowski, J. & Papadopoulos, G. M-theory backgrounds with 30 Killing spinors are maximally supersymmetric. J. High Energ. Phys. 2010, 112 (2010). https://doi.org/10.1007/JHEP03(2010)112

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  • DOI: https://doi.org/10.1007/JHEP03(2010)112

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