Type IIB flux compactifications with $h^{1,1}=0$

TL;DR

This paper explores type IIB flux compactifications on spaces dual to rigid Calabi-Yau manifolds, revealing new supersymmetric Minkowski and AdS vacua, and discusses their implications for swampland conjectures.

Contribution

It uncovers new classes of flux vacua in a less-explored string landscape, including Minkowski, AdS, and potential de Sitter solutions, expanding understanding of string compactifications.

Findings

Existence of supersymmetric Minkowski vacua without flat directions.

Infinite families of AdS vacua with variable gauge group rank.

Discussion on potential metastable de Sitter solutions.

Abstract

We revisit flux compactifications of type IIB string theory on `spaces' dual to rigid Calabi-Yau manifolds. This rather unexplored part of the string landscapes harbors many interesting four-dimensional solutions, namely supersymmetric $\mathcal{N}=1$ Minkowski vacua without flat direction and infinite families of AdS vacua, some potentially with unrestricted rank for the gauge group. We also comment on the existence of metastable dS solutions in this setup. We discuss how these solutions fit into the web of swampland conjectures.