dS Supergravity from 10d

TL;DR

This paper extends flux compactification models in type II string theory by incorporating anti-Dp-branes, leading to new dS supergravity models with a nilpotent multiplet and a universal uplifting contribution, removing certain instabilities.

Contribution

It introduces a unified framework connecting string models with d=4 supergravity including nilpotent multiplets and explores new uplifting scenarios with various anti-Dp-branes.

Findings

Unified dictionary for string models and supergravity potentials.

New models with diverse anti-Dp-brane uplifts.

Elimination of a universal tachyon in flux compactifications.

Abstract

We consider flux compactification of type II string theory with local sources on SU(3)-structure manifolds. By adding pseudo-calibrated anti-$Dp$-branes wrapped on supersymmetric cycles we generalize all existing models so that the effective $d=4,$ ${\cal N}=1$ supergravity now includes a nilpotent multiplet. We present a new dictionary between string theory models and K{\"a}hler potential $K$ and superpotential $W$ for these dS supergravities with a nilpotent multiplet and non-linearly realized local supersymmetry. In addition to KKLT and LVS with uplifting $\overline{D3}$-branes, we have now new models with uplifting $\overline{D5}$, $\overline{D6}$, $\overline{D7}$, $\overline{D9}$-branes. The new uplifting contribution to the supergravity potential due to Volkov-Akulov supersymmetry is universal. As one application of our general result, we study classical flux compactifications of type IIA supergravity and find that a previously discovered universal tachyon is now absent.