Systematics of perturbatively flat flux vacua for CICYs

TL;DR

This paper analyzes the distribution and properties of perturbatively flat flux vacua in type IIB compactifications on pCICYs, identifying conditions for physical vacua and the role of exchange symmetries in stabilizing these vacua.

Contribution

It extends the analysis of PFFV to all 36 pCICYs with h^{1,1}=2, classifies models, and identifies specific exchange symmetries leading to exponentially flat flux vacua.

Findings

K3-fibered models have many PFFV leading to physical vacua.

Few non K3-fibered models have such vacua.

Only 15 pCICYs can produce EFFV configurations.

Abstract

In this paper, we extend the analysis of scanning the perturbatively flat flux vacua (PFFV) for the type IIB orientifold compactifications on the mirror of the projective complete intersection Calabi-Yau (pCICY) 3-folds, which are realized as hypersurfaces in the product of complex projective spaces. We present the PFFV statistics for all the 36 pCICYs with $h^{1,1}=2$ and classify them into two categories of being K3-fibered model and non K3-fibered model. We find that all the K3-fibered models have a significantly large number of PFFV leading to physical vacua by fixing the axio-dilaton by non-perturbative effects, while only a couple of non K3-fibered models have such physical vacua. We have found that there are five pCICY $3$-folds with the suitable exchange symmetry leading to the so-called exponentially flat flux vacua (EFFV) which are protected against non-perturbative prepotential effects as well. Finally we explored the underlying exchange symmetries in the favorable dataset of 7820 pCICYs and have found that there are only 15 spaces which can result in EFFV configurations.