Analytic Classes of Metastable de Sitter Vacua

TL;DR

This paper presents a systematic method for constructing stable de Sitter vacua in string-inspired supergravity models, demonstrating the existence of many such vacua under specific conditions and analyzing their properties.

Contribution

It introduces a general procedure for building metastable de Sitter vacua with controlled supersymmetry breaking, supported by explicit solutions in the STU model.

Findings

Abundance of metastable dS vacua in parameter space

Existence of Minkowski limits with broken SUSY or flat directions

Method for constructing stable Minkowski vacua that uplift to dS

Abstract

In this paper, we give a systematic procedure for building locally stable dS vacua in $\mathcal{N}=1$ supergravity models motivated by string theory. We assume that one of the superfields has a Kahler potential of no-scale type and impose a hierarchy of supersymmetry breaking conditions. In the no-scale modulus direction the supersymmetry breaking is not small, in all other directions it is of order $\epsilon$. We establish the existence of an abundance of vacua for large regions in the parameter space spanned by $\epsilon$ and the cosmological constant. These regions exist regardless of the details of the other moduli, provided the superpotential can be tuned such that the off-diagonal blocks of the mass matrix are parametrically small. We test and support this general dS landscape construction by explicit analytic solutions for the STU model. The Minkowski limits of these dS vacua either break supersymmetry or have flat directions in agreement with a no-go theorem that we prove, stating that a supersymmetric Minkowski vacuum without flat directions cannot be continuously deformed into a non-supersymmetric vacuum. We also describe a method for finding a broad class of stable supersymmetric Minkowski vacua that can be F-term uplifted to dS vacua and which have an easily controllable SUSY breaking scale.