Systematics of perturbatively flat flux vacua

Abstract

In this article, we present a systematic analysis of the so-called perturbatively flat flux vacua (PFFV) for the mirror Calabi-Yau (CY) 3-folds ( X3 ) with h 1,1 ( X3 ) = 2 arising from the Kreuzer-Skarke database of the four-dimensional reflexive polytopes. We consider the divisor topologies of the CY 3-folds for classifying the subsequent models into three categories; (i) models with the so-called Swiss-cheese structure, (ii) models with the K3-fibered structure, and (iii) the remaining ones which we call as models of "Hybrid type". In our detailed analysis of PFFV we find that for a given fixed value of the D3 tadpole charge N flux , the K3-fibered mirror CY 3-folds have significantly larger number of such PFFV as compared to those which have Swiss-cheese structure, while the Hybrid type models have a mixed behavior. We also compute the Gopakumar-Vafa invariants necessary for fixing the flat valley in the weak string-coupling and large complex-structure regime by using the non-perturbative effects, which subsequently reduce the number of physically trustworthy vacua quite significantly. Moreover, we find that there are some examples in which the PFFV are protected even at the leading orders of the non-perturbative effects due to the some underlying symmetry in the CY geometry, which we call as "Exponentially flat flux vacua". We also present a new class of PFFV using the S-duality arguments.

On the Search for Low W0

“…Given that these numbers are still small to be attractive in the context of a landscape, we do not push the analysis further. This expectation has been confirmed by detailed scan of models in [87].…”

“…This has been confirmed in the detailed numerical scans of two moduli models. [87] We therefore conclude that this set by itself does not provide tuning freedom for phenomenological applications. Using the general algorithm outlined in Section 5, it would be interesting in the future to perform a detailed search for cases with more than 2 complex structure moduli, [58] although one expects them to be statistically sparse from the analysis of Section 3.…”

Supersymmetry and R-symmetries in Wess-Zumino models: properties and model dataset construction

“…And similar constructions also arise from non-geometric compactifications [135,136]. Non-perturbative corrections, such as the racetrack superpotentials [137,138,139,140,141], are then included to generate SUSY breaking and the superpotential at hierarchically small scales [142,143,144,145,146,147,148,149,150,151,152,153,154,155]. The constraint from the de Sitter swampland conjecture [156,157,158,159] may be evaded [160,161], and MSSM or its extensions may hopefully be built on these vacua.…”