Properties of Nilpotent Supergravity

Abstract

We construct Supergravity models where the goldstino multiplet has a gravitational origin, being dual to the chiral curvature superfield. Supersymmetry is nonlinearly realized due to a nilpotent constraint, while the goldstino arises from $\gamma$-traces of the gauge-invariant gravitino field strength. After duality transformations one recovers, as expected, the standard Volkov-Akulov Lagrangian coupled to Supergravity, but the gravitational origin of the goldstino multiplet restricts the available types of matter couplings. We also construct explicitly some inflationary models of this type, which contain both the inflaton and the nilpotent superfield.

19 pages, LaTeX. Dedicated to the memory of Raymond Stora. References and comment on the duality added. Final version to appear in JHEP

References in corpus (4)

• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• Open strings and their symmetry groups

Cited by in corpus (21)

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• Cosmology with orthogonal nilpotent superfields
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• Constrained superfields in Supergravity
• De Sitter Supergravity Model Building
• The coupling of Non-linear Supersymmetry to Supergravity
• Minimal scalar-less matter-coupled supergravity
• Matter-coupled de Sitter Supergravity
• Scale invariant Volkov-Akulov Supergravity
• Scanning of the Supersymmetry Breaking Scale and the Gravitino Mass in Supergravity
• Nilpotent chiral superfield in N=2 supergravity and partial rigid supersymmetry breaking
• Slow and Safe Gravitinos
• Interactions of N Goldstini in Superspace
• Brane SUSY Breaking and the Gravitino Mass
• From Linear to Non-linear Supersymmetry via Functional Integration
• de Sitter vacuum from $R^2$ supergravity
• Constrained superfields from inflation to reheating
• Non-linear Realizations and Higher Curvature Supergravity
• de Sitter decay through goldstino evaporation
• Complex linear Goldstino superfield and de Sitter supergravity
• Quadratic curvature corrections to stringy effective actions and the absence of de Sitter vacua