From Minkowski to de Sitter vacua with various geometries

Abstract

New no-scale supergravity models with F-term SUSY breaking are introduced, adopting Kähler potentials parameterizing flat or curved (compact or non-compact) Kähler manifolds. We systematically derive the form of the superpotentials leading to Minkowski vacua. Combining two types of these superpotentials we can also determine de Sitter or anti-de Sitter vacua. The construction can be easily extended to multi-modular settings of mixed geometry. The corresponding soft SUSY-breaking parameters are also derived.