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Rigid supersymmetric backgrounds of minimal off-shell supergravity

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Abstract

We discuss various aspects of rigid supersymmetry within minimal \( \mathcal{N}=1 \) off-shell supergravity using the old and new minimal formulations both in Lorentzian and Euclidean signatures. In particular, we construct all rigid supersymmetry backgrounds with a hypersurface orthogonal Killing vector. In the Lorentzian signature we show that AdS 4 provides a rigid supersymmetric background in both formulations albeit with different amounts of preserved supersymmetry. In the Euclidean signature we find new backgrounds of the old-minimal supergravity, including squashed four-spheres and a half-BPS version of flat space.

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Authors and Affiliations

  1. Michigan Center for Theoretical Physics, Randall Laboratory of Physics, University of Michigan, Ann Arbor, MI, 48109-1040, U.S.A.

    James T. Liu, Leopoldo A. Pando Zayas & Dori Reichmann

Authors
  1. James T. Liu
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  2. Leopoldo A. Pando Zayas
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  3. Dori Reichmann
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Correspondence to Leopoldo A. Pando Zayas.

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ArXiv ePrint: 1207.2785

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Liu, J.T., Pando Zayas, L.A. & Reichmann, D. Rigid supersymmetric backgrounds of minimal off-shell supergravity. J. High Energ. Phys. 2012, 34 (2012). https://doi.org/10.1007/JHEP10(2012)034

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  • DOI: https://doi.org/10.1007/JHEP10(2012)034

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