A New Class of de Sitter Vacua in Type IIB Large Volume Compactifications

TL;DR

The paper addresses the challenge of realizing metastable de Sitter vacua in string theory by extending the Large Volume Scenario to include a small amount of flux-induced supersymmetry breaking in the complex-structure and axio-dilaton sector. It develops a constructive framework within type IIB flux compactifications, showing that these no-scale–like setups can yield dS vacua at parametrically large volume without anti-brane uplift, and provides an explicit CP^4_{11169} example. A key result is that most moduli become heavy and metastable even with modest tuning, leading to a distinctive phenomenology including heavy soft terms (no superpartners below ~50 TeV) and no WIMP dark matter. The work offers a concrete, calculable route to non-supersymmetric string vacua and clarifies their potential cosmological and collider implications, making it a useful testing ground for non-supersymmetric vacua in string theory.

Abstract

We construct a new class of metastable de Sitter vacua of flux compactifications of type IIB string theory. These solutions provide a natural extension of the `Large Volume Scenario' anti-de Sitter vacua, and can analogously be realised at parametrically large volume and weak string coupling, using standard ${\cal N}=1$ supergravity. For these new vacua, a positive vacuum energy is achieved from the inclusion of a small amount of flux-induced supersymmetry breaking in the complex structure and axio-dilaton sector, and no additional `uplift' contribution (e.g.~from anti-branes) is required. We show that the approximate no-scale structure of the effective theory strongly influences the spectrum of the stabilised moduli: one complex structure modulus remains significantly lighter than the supersymmetry breaking scale, and metastability requires only modest amounts of tuning. After discussing these general results, we provide a recipe for constructing de Sitter vacua on a given compactification manifold, and give an explicit example of a de Sitter vacuum for the compactification on the Calabi-Yau orientifold realised in $\mathbb{CP}^4_{11169}$. Finally, we note that these solutions have intriguing implications for phenomenology, predicting no superpartners in the spectrum below $\sim$50 TeV, and no WIMP dark matter.