$T$-dualizing the de-Sitter no-go scenarios

TL;DR

This paper uses a $T$-dual dictionary to translate no-go conditions for de-Sitter vacua from type IIA to type IIB flux compactifications, refining the search for de-Sitter solutions in string theory.

Contribution

It introduces a $T$-dual framework to relate no-go conditions across type IIA and IIB theories, incorporating non-geometric fluxes and specific Calabi-Yau geometries.

Findings

Identifies de-Sitter no-go scenarios in type IIB via $T$-duality.

Highlights the role of (non-)geometric fluxes in de-Sitter constraints.

Refines the flux landscape for de-Sitter vacua search.

Abstract

In the context of realizing de-Sitter vacua and the slow-roll inflation, several no-go conditions have been found in the framework of type IIA (generalized) flux compactifications. In this article, using our recently proposed $T$-dual dictionary in arXiv:1909.07391, we translate various such type IIA no-go conditions which subsequently leads to some interesting de-Sitter no-go scenarios in the presence of (non-)geometric fluxes on the dual type IIB side. We also present the relevance of using $K3/{\mathbb T}^4$-fibred Calabi Yau threefolds in order to facilitate one particular class of the de-Sitter no-go conditions. This analysis helps in refining certain corners of the vast non-geometric flux landscape for the hunt of de-Sitter vacua.