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All homogeneous N = 2 M-theory truncations with supersymmetric AdS4 vacua

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Abstract

We study consistent truncations of M-theory to gauged N = 2 supergravity in four dimensions, based on a large class of SU(3)-structures in seven dimensions. We show that the gauging involves isometries of the vector multiplet scalar manifold as well as the Heisenberg algebra and a special isometry of the hyperscalar manifold. As a result, non-abelian gauge groups and new non-trivial scalar potentials are generated. Then we specialize to all homogeneous SU(3)-structures supporting supersymmetric AdS4 vacua. These are the Stiefel manifold V 5,2, the Aloff-Wallach spaces N (k, l), the seven-sphere (seen as SU(4)/SU(3) or Sp(2)/Sp(1)) and the M 110 and Q 111 coset spaces. For each of these cases, we describe in detail the N = 2 model and discuss its peculiarities.

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Authors and Affiliations

  1. Department of Mathematics, King’s College London, The Strand, London, WC2R 2LS, United Kingdom

    Davide Cassani

  2. Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven Celestijnenlaan 200D, B-3001, Leuven, Belgium

    Paul Koerber

  3. Institute for Theoretical Physics and Spinoza Institute, Utrecht University, 3508 TD, Utrecht, The Netherlands

    Oscar Varela

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  1. Davide Cassani
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Cassani, D., Koerber, P. & Varela, O. All homogeneous N = 2 M-theory truncations with supersymmetric AdS4 vacua. J. High Energ. Phys. 2012, 173 (2012). https://doi.org/10.1007/JHEP11(2012)173

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