De Sitter space from dilatino condensates in (massive) IIA

TL;DR

This paper demonstrates that in (massive) IIA supergravity, dilatino condensates can produce a positive cosmological constant, leading to de Sitter solutions in ten and four dimensions with specific geometric properties.

Contribution

It explicitly derives dilatino terms in (massive) IIA supergravity and shows how condensates enable de Sitter solutions, a novel approach in string theory compactifications.

Findings

Positive quartic-dilatino term identified

Ten-dimensional de Sitter solution constructed

Four-dimensional de Sitter solutions with Kähler-Einstein manifolds obtained

Abstract

We use the superspace formulation of (massive) IIA supergravity to obtain the explicit form of the dilatino terms, and we find that the quartic-dilatino term is positive. The theory admits a ten-dimensional de Sitter solution, obtained by assuming a nonvanishing quartic-dilatino condensate which generates a positive cosmological constant. Moreover, in the presence of dilatino condensates, the theory admits formal four-dimensional de Sitter solutions of the form $dS_4\times M_6$, where $M_6$ is a six-dimensional K\"{a}hler-Einstein manifold of positive scalar curvature.