Universal dS vacua in STU-models

TL;DR

This paper analytically investigates stable de Sitter vacua in STU-models from type IIB compactifications, revealing universal solutions near Minkowski points through a novel method analyzing the mass matrix and sGoldstino bound.

Contribution

It introduces an analytical approach to find universal de Sitter vacua in STU-models, focusing on solutions near Minkowski points using the sGoldstino bound.

Findings

Identified a class of universal dS vacua near Minkowski points.

Developed an analytical method for the mass matrix analysis.

Explored solutions around no-scale Minkowski points.

Abstract

Stable de Sitter solutions in minimal F-term supergravity are known to lie close to Minkowski critical points. We consider a class of STU-models arising from type IIB compactifications with generalised fluxes. There, we apply an analytical method for solving the equations of motion for the moduli fields based on the idea of treating derivatives of the superpotential of different orders up to third as independent objects. In particular, supersymmetric and no-scale Minkowski solutions are singled out by physical reasons. Focusing on the study of dS vacua close to supersymmetric Minkowski points, we are able to elaborate a complete analytical treatment of the mass matrix based on the sGoldstino bound. This leads to a class of interesting universal dS vacua. We finally explore a similar possibility around no-scale Minkowski points and discuss some examples.