Bare-bones de Sitter vacua

We compute the supersymmetry-breaking three-form fluxes generated by the addition of anti-D3 branes at the tip of a Klebanov-Strassler throat. These fluxes give rise to nontrivial terms in the superpotential when the throat is embedded in a flux compactification. We describe these terms both from a ten-dimensional and from a four-dimensional perspective and show that, upon including Kähler-moduli stabilization, the resulting potential admits de Sitter minima. Our proposed de Sitter construction does not require additional supersymmetry-breaking (0,3) fluxes, and hence is more minimalist than the KKLT proposal.

Figure 1

An artist’s impression of the KS geometry.

Figure 2

The potential for the choice of parameters $a=\frac{\pi }{3}$, $g_s=\frac{1}{2}$, $A=3\times {10}^3$, $K=134$, $M=200$. This gives $Z_0\approx {10}^{-4}$.