From Minkowski to de Sitter Vacua with Various Geometries

TL;DR

This paper develops new supergravity models with various geometries to systematically construct Minkowski, de Sitter, and anti-de Sitter vacua, extending to multi-modular settings with derived SUSY-breaking parameters.

Contribution

It introduces a systematic method for deriving superpotentials in no-scale supergravity models with diverse geometries to achieve different vacua types.

Findings

Derived superpotentials for Minkowski vacua

Extended models to multi-modular geometries

Calculated soft SUSY-breaking parameters

Abstract

New no-scale supergravity models with F-term SUSY breaking are introduced, adopting Kaehler potentials parameterizing flat or curved (compact or non-compact) Kaehler 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.