Supergravity (SUGRA in short) is a wonderful achievement at the crossroads between the works of A. Einstein and P. Dirac. Noteworthily, almost since its discovery forty years ago, pure supergravity is known to be anti-de Sitter with a negative cosmological constant when no other field than the bosonic field of the graviton and the fermionic field of the gravitino are considered. It is only recently that pure de Sitter supergravity with a positive cosmological constant has been derived by assuming the existence of an additional fermionic field of a nilpotent Goldstino associated with the spontaneous supersymmetry breaking.
Given the no-go theorems on the subject, it is obvious that hoping to derive N=2 pure de Sitter supergravity requires an heterodox approach. In the theory below we present such an approach that consists in abandoning the usual rule for counting spinors in supergravity.
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