Mass Formulae for Broken Supersymmetry in Curved Space-Time
Sergio Ferrara, Antoine Van Proeyen

TL;DR
This paper derives mass formulae for ${ m extstylef N}=1$, $D=4$ supergravity with matter in curved space-time, applicable to de Sitter and anti-de Sitter backgrounds, relevant for inflation and AdS scenarios.
Contribution
It provides new mass relations for broken and unbroken supersymmetry in curved space, including de Sitter and anti-de Sitter cases, extending previous flat-space results.
Findings
Mass formulae for broken supersymmetry in de Sitter space.
Modified mass relations for unbroken supersymmetry in AdS.
Applicable to inflationary and AdS configurations.
Abstract
We derive the mass formulae for , 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.
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