De Sitter Supergravity Model Building

Abstract

We present the explicit de Sitter supergravity action describing the interaction of supergravity with an arbitrary number of chiral and vector multiplets as well as one nilpotent chiral multiplet. The action has a non-Gaussian dependence on the auxiliary field of the nilpotent multiplet, however, it can be integrated out for an arbitrary matter-coupled supergravity. The general supergravity action with a given Kahler potential $K$, superpotential $W$ and vector matrix $f_{AB}$ interacting with a nilpotent chiral multiplet consists of the standard supergravity action defined by $K$, $W$ and $f_{AB}$ where the scalar in the nilpotent multiplet has to be replaced by a bilinear combination of the fermion in the nilpotent multiplet divided by the Gaussian value of the auxiliary field. All additional contributions to the action start with terms quartic and higher order in the fermion of the nilpotent multiplet. These are given by a simple universal closed form expression.

15 pages

References in corpus (14)

• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• The Hyperbolic Geometry of Cosmological Attractors
• $\overline{D3}$ and dS
• Pure de Sitter Supergravity
• Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
• On sgoldstino-less supergravity models of inflation
• Inflation and Uplifting with Nilpotent Superfields
• Component action of nilpotent multiplet coupled to matter in 4 dimensional $\mathcal{N}=1$ supergravity
• The coupling of Non-linear Supersymmetry to Supergravity
• Matter-coupled de Sitter Supergravity
• Scale invariant Volkov-Akulov Supergravity
• Properties of Nilpotent Supergravity
• Complex linear Goldstino superfield and de Sitter supergravity

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• $\overline{D3}$ Induced Geometric Inflation
• Cosmology with orthogonal nilpotent superfields
• The Supersymmetric Effective Field Theory of Inflation
• Constrained superfields in Supergravity
• dS Supergravity from 10d
• Inflation from Nilpotent Kähler Corrections
• Catastrophic Production of Slow Gravitinos
• Anti-D3 branes and moduli in non-linear supergravity
• de Sitter Vacua with a Nilpotent Superfield
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• Matter-coupled de Sitter Supergravity
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• Goldstino superfields in N=2 supergravity
• From Linear to Non-linear SUSY and Back Again
• From Linear to Non-linear Supersymmetry via Functional Integration
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• De Sitter Uplift with Dynamical Susy Breaking
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• Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions
• Construction of the de Sitter supergravity
• Nilpotent $\mathcal{N}=1$ tensor multiplet
• Goldstino Condensation?
• (Super)Universal Attractors and the de Sitter Vacua in String Landscape
• The Gravitino Swampland Conjecture
• Volkov-Akulov-Starobinsky supergravity revisited
• Non-linear realisations in global and local supersymmetry
• Nilpotent superfields for broken abelian symmetries
• Causality constraints on nonlinear supersymmetry
• Conceptual and technical challenges of quantum gravity
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• Simple Sinflaton-less $\alpha$-attractors
• Aspects of cubic nilpotent superfields
• Natural solution of SUSY $\mu$ problem from modulus stabilization in modular flavor model
• Supertrace formulae for nonlinearly realized supersymmetry
• Supersymmetric Horizons at the Edge of Effective Field Theory
• Modification of T/E models and their multi-field versions