Abstract
We describe minimal supergravity models where supersymmetry is non-linearly realized via constrained superfields. We show that the resulting actions differ from the so called "de Sitter" supergravities because we consider constraints eliminating directly the auxiliary fields of the gravity multiplet.
Highlights
If supersymmetry is realized in nature, it is likely that its breaking scale is much higher than the one currently probed experimentally
In this letter we considered minimal supergravity models where supersymmetry is non-linearly realized by constraining the auxiliary fields of the supergravity multiplet
The resulting theories depend on three parameters related to the cosmological constant, the mass of the gravitino and the supersymmetry breaking scale
Summary
If supersymmetry is realized in nature, it is likely that its breaking scale is much higher than the one currently probed experimentally. At energy scales much lower than the supersymmetry breaking scale, supersymmetry could pose visible constraints to interactions, especially if the mass spectrum is split so that are some states that are much lighter than other ones For this reason, it is interesting to study non-linear realizations of supersymmetry and understand how to construct a general formalism that can be efficiently used to implement them in phenomenological models. We will see that this produces interactions and Lagrangians that differ from those in [3, 9, 10, 11] and which depend on three independent physical inputs: the susy-breaking scale, the gravitino mass and the cosmological constant This problem has been already tackled from a different perspective in [12], with the purpose of constructing an effective field theory for supergravity models of inflation. Where f is the F -term of the goldstino multiplet and c is a new parameter which can be introduced when constraining the supergravity auxiliary scalar field
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