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Supergravity with eight supercharges in a four-dimensional Euclidean space is constructed at the full non-linear level by performing an off-shell time-like reduction of five-dimensional supergravity.
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N. Banerjee, B. de Wit and S. Katmadas, The off-shell 4D/5D connection
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M. Zucker, Off-shell supergravity in five-dimensions and supersymmetric brane world scenarios
2003
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V. Cortés, C. Mayer, T. Mohaupt and F. Saueressig, Special geometry of Euclidean supersymmetry I: Vector multiplets
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N. Banerjee, B. de Wit and S. Katmadas, The off-shell c-map
2016
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