Matter-coupled de Sitter Supergravity

Abstract

De Sitter supergravity describes interaction of supergravity with general chiral and vector multiplets as well as one nilpotent chiral multiplet. The extra universal positive term in the potential due to the nilpotent multiplet, corresponding to the anti-D3 brane in string theory, supports de Sitter vacua in these supergravity models. In the flat space limit these supergravity models include the Volkov-Akulov model with a non-linearly realized supersymmetry. The rules for constructing pure de Sitter supergravity action are generalized here in presence of other matter multiplets. We present a strategy to derive the complete closed form general supergravity action with a given Kahler potential $K$, superpotential $W$ and vector matrix $f_{AB}$ interacting with a nilpotent chiral multiplet. It has the potential $V=e^K(|F^2|+|DW{|}^2-3|W{|}^2)$, where $F$ is a necessarily non-vanishing value of the auxiliary field of the nilpotent multiplet. De Sitter vacua are present under simple condition that $|F^2|-3|W{|}^2>0$. A complete explicit action in the unitary gauge is presented.

14 pages

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• The landscape, the swampland and the era of precision cosmology
• On the origin of constrained superfields
• Higher Spin Supersymmetry at the Cosmological Collider: Sculpting SUSY Rilles in the CMB
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• Constrained superfields in Supergravity
• The Supersymmetric Effective Field Theory of Inflation
• The Goldstino Brane, the Constrained Superfields and Matter in N=1 Supergravity
• Inflation from Nilpotent Kähler Corrections
• dS Supergravity from 10d
• De Sitter Supergravity Model Building
• Catastrophic Production of Slow Gravitinos
• Anti-D3 branes and moduli in non-linear supergravity
• Minimal scalar-less matter-coupled supergravity
• de Sitter Vacua with a Nilpotent Superfield
• The general de Sitter supergravity component action
• Nilpotent chiral superfield in N=2 supergravity and partial rigid supersymmetry breaking
• From Linear to Non-linear Supersymmetry via Functional Integration
• de Sitter vacuum from $R^2$ supergravity
• Off-shell Poincare Supergravity
• Construction of the de Sitter supergravity
• Non-supersymmetric branes
• (Super)Universal Attractors and the de Sitter Vacua in String Landscape
• The Gravitino Swampland Conjecture
• Volkov-Akulov-Starobinsky supergravity revisited
• Constrained Superfields in Dynamical Background
• Simple Sinflaton-less $\alpha$-attractors
• 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