Abstract
We analyze constrained superfields in supergravity. We investigate the consistency and solve all known constraints, presenting a new class that may have interesting applications in the construction of inflationary models. We provide the superspace Lagrangians for minimal supergravity models based on them and write the corresponding theories in component form using a simplifying gauge for the goldstino couplings.
Highlights
The composite fields and the fundamental ones, which means that they can be directly combined with standard superspace methods
We will discuss the supergravity actions that include such constrained superfields using the explicit component language, though we will do it by using a simplifying gauge choice that removes a certain component of the goldstino field (Gα = 0)
We discussed the general solution of all known constraints where matter chiral multiplets transform in a non linear representation of supersymmetry in addition to the goldstino multiplet
Summary
2.1 Sgoldstinoless models A chiral superfield in supergravity satisfies the covariant constraint condition. An efficient method to obtain the constraints imposed by such condition in supergravity is to solve the equations that arise by hitting it with the highest possible number of covariant chiral derivatives and extracting the θ = θ = 0 projection. Note that coupling gravity to matter fields promotes all derivatives appearing in the action to super-covariant ones Since their expression is going to be useful in the following, we give here such derivatives for the constrained Goldstino sector: Dm
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