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2012

Rigid Supersymmetric Backgrounds of Minimal Off-Shell Supergravity

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

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We discuss various aspects of rigid supersymmetry within minimal 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.

Rigid Supersymmetric Backgrounds of Minimal Off-Shell Supergravity · Around

Built on

K. Stelle and P. C. West, Minimal Auxiliary Fields for Supergravity
1978
Earlier work this paper cites.
S. Ferrara and P. van Nieuwenhuizen, The Auxiliary Fields of Supergravity
1978
Earlier work this paper cites.
M. F. Sohnius and P. C. West, An Alternative Minimal Off-Shell Version of N=1 Supergravity
1981
Earlier work this paper cites.
M. Sohnius and P. C. West, The Tensor Calculus and Matter Coupling of the Alternative Minimal Auxiliary Field Formulation of N=1 Supergravity
1982
Earlier work this paper cites.
K. Tod, All Metrics Admitting Supercovariantly Constant Spinors
1983
Earlier work this paper cites.

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