Stability Constraints on Classical de Sitter Vacua

TL;DR

This paper establishes new no-go theorems indicating that classical de Sitter vacua in Type II string theory require additional ingredients beyond minimal setups to achieve stability, highlighting the challenges in constructing stable de Sitter solutions.

Contribution

It provides new no-go theorems and identifies minimal conditions needed for (meta)stable classical de Sitter vacua in Type II string theory.

Findings

Additional ingredients are necessary for stable de Sitter vacua.

Minimal setups without non-perturbative effects are insufficient for stability.

Enumerates conditions for (meta)stable de Sitter solutions.

Abstract

We present further no-go theorems for classical de Sitter vacua in Type II string theory, i.e., de Sitter constructions that do not invoke non-perturbative effects or explicit supersymmetry breaking localized sources. By analyzing the stability of the 4D potential arising from compactification on manfiolds with curvature, fluxes, and orientifold planes, we found that additional ingredients, beyond the minimal ones presented so far, are necessary to avoid the presence of unstable modes. We enumerate the minimal setups for (meta)stable de Sitter vacua to arise in this context.