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.

arXiv comment14 pages; v2: v2: Extended conclusions and typos corrected

References in corpus (11)

• de Sitter Vacua in String Theory
• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• Superconformal Symmetry, Supergravity and Cosmology
• Pure de Sitter Supergravity
• On sgoldstino-less supergravity models of inflation
• Inflation and Uplifting with Nilpotent Superfields
• Vacuum structure in a chiral R+R^n modification of pure supergravity
• Orthogonal Nilpotent Superfields from Linear Models
• Cosmology and Supergravity

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