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

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.

35 pages, arXiv admin note: text overlap with arXiv:1909.07391 in the appendix; version 2: 38 pages, minor updates with text readjustments, typos fixed, references added; version 3: 38 pages, minor changes with Introduction section consolidated, references added, to appear in PRD

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• Asymptotic Safety: Swampland or Wonderland?
• Dictionary for the type II nongeometric flux compactifications
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