4d models of dS uplift in KKLT

Understand

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 $|D_SW|^2$ 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 $|D_SW|^2$ vanishes, there is also a region in the moduli space where $|D_SW|^2$ is negative.
• Meanwhile for small $c$ these models have dS vacua.