Mass Formulae for Broken Supersymmetry in Curved Space-Time

Abstract

We derive the mass formulae for $\mathcal{N}=1$, $D=4$ matter-coupled Supergravity for broken (and unbroken) Supersymmetry in curved space-time. These formulae are applicable to de Sitter configurations as is the case for inflation. For unbroken Supersymmetry in anti-de Sitter (AdS) one gets the mass relations modified by the AdS curvature. We compute the mass relations both for the potential and its derivative non-vanishing.

14 pages; v2: v2: Extended conclusions and typos corrected

References in corpus (5)

• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• On sgoldstino-less supergravity models of inflation
• Inflation and Uplifting with Nilpotent Superfields

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• A Solution to the de Sitter Swampland Conjecture versus Inflation Tension via Supergravity
• Old and new vacua of 5D maximal supergravity
• Non-linear realisations in global and local supersymmetry
• AdS Swampland Conjectures and Light Fermions
• Complex Linear Multiplets and Local Supersymmetry Breaking