Progress towards D=4, N=4 pure de Sitter supergravity

Using a general derivation framework we investigate which usual rule of supergravity should be abandoned to progress towards N=2 pure de Sitter supergravity without having to introduce any other field than that of the graviton, the photon, and the gravitino. The derivation is in D=4 dimensions, its action is locally supersymmetric up to quartic terms, and no supersymmetry breaking is required.

About our theory

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.

Our theory

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