On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes

TL;DR

This paper explores the realization of de Sitter vacua in type IIB string theory on K3-fibred Calabi-Yau orientifolds, using anti-D3-branes for uplift, and identifies specific geometries suitable for stable moduli stabilization.

Contribution

It systematically searches for K3-fibred Calabi-Yau threefolds suitable for LARGE Volume Scenario with anti-D3-brane uplift, providing a concrete global model with all moduli stabilized in de Sitter space.

Findings

Few suitable CY geometries for anti-D3-brane uplift identified.

A global model with stabilized moduli in de Sitter vacuum constructed.

Topological constraints limit the candidate geometries.

Abstract

In the context of type IIB superstring compactifications on K3-fibred (weak) Swiss-cheese Calabi Yau (CY) orientifolds, we consider the realisation of de Sitter vacua obtained through the introduction of an anti-D3-brane at the tip of a highly warped throat of Klebanov-Strassler type. Aiming to have a concrete global realisation, we perform a systematic search for the CY threefolds with $2 < h^{1,1} < 5$ arising from the Kreuzer-Skarke database, which satisfy the minimal requirements of being K3-fibred and suitable for moduli stabilisation within the LARGE Volume Scenario (LVS). In this context, after scanning the set of K3-fibred CY threefolds with a so-called diagonal del-Pezzo divisor needed for LVS, we realise that one of the main challenging requirements for having anti-D3-brane uplifting is to find a suitable orientifold involution which can simultaneously result in a sufficient large $D3$ tadpole charge along with the presence of suitable $O3$-planes. In our detailed analysis (limited to) using the CY threefolds with small $h^{1,1}$, we observe that these topological requirements rule out most of the CY geometries leading to only few possibly suitable candidates for the purpose of anti-D3-brane uplifting. Subsequently, we present a global model using one such explicit K3-fibred CY threefold with $h^{1,1}=4$ in which all the moduli can be consistently stabilised in a de Sitter minimum of the scalar potential.