4d models of dS uplift in KKLT

Abstract

It was shown in arXiv:1808.09428 that the modified 4d version of the KKLT model proposed in arXiv:1707.08678 is inconsistent for large values of the parameter $c$ advocated in arXiv:1707.08678, since there is a point in the moduli space where $|D_{S}W{|}^2$ vanishes. The authors responded with yet another modification of the 4d KKLT model arXiv:1809.06618. However, for large $c$, this model suffers from an even worse problem: not only is there a point in the moduli space where $|D_{S}W{|}^2$ vanishes, there is also a region in the moduli space where $|D_{S}W{|}^2$ is negative. Meanwhile for small $c$ these models have dS vacua. We construct improved models, which are fully consistent for all values of parameters, just as the original version of the KKLT model using a nilpotent superfield. These models have a family of dS vacua for a broad range of parameter values. Thus, the results of the analysis of all presently available consistent generalizations of the 4d KKLT model, in the domain of their validity, confirm the existence of dS vacua in the KKLT scenario.

arXiv comment4 pages, minor additions

References in corpus (8)

• Cosmology with Nilpotent Superfields
• De Sitter vs Quintessence in String Theory
• $\overline{D3}$ and dS
• Towards de Sitter from 10D
• Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
• $\overline{D3}$ Induced Geometric Inflation
• Inflation from Nilpotent Kähler Corrections
• de Sitter Vacua with a Nilpotent Superfield

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