Scanning the Landscape of Flux Compactifications: Vacuum Structure and Soft Supersymmetry Breaking

TL;DR

This paper explores the landscape of flux compactifications on a specific Calabi-Yau manifold, revealing diverse vacuum structures and analyzing how the cosmological constant and supersymmetry breaking parameters depend on flux superpotential variations.

Contribution

It systematically scans flux vacua for a Calabi-Yau with two Kähler moduli, identifying new classes of minima and analyzing their properties without uplift terms.

Findings

Reproduces the large volume scenario at W_0~1

Discovers new minima as W_0 decreases, including supersymmetric and non-supersymmetric vacua

Analyzes the dependence of cosmological constant and SUSY breaking on W_0

Abstract

We scan the landscape of flux compactifications for the Calabi-Yau manifold $\mathbb{P}^4_{[1,1,1,6,9]}$ with two K\" ahler moduli by varying the value of the flux superpotential $W_0$ over a large range of values. We do not include uplift terms. We find a rich phase structure of AdS and dS vacua. Starting with $W_0\sim 1$ we reproduce the exponentially large volume scenario, but as $W_0$ is reduced new classes of minima appear. One of them corresponds to the supersymmetric KKLT vacuum while the other is a new, deeper non-supersymmetric minimum. We study how the bare cosmological constant and the soft supersymmetry breaking parameters for matter on D7 branes depend on $W_0$, for these classes of minima. We discuss potential applications of our results.