Stable de Sitter Vacua from N=2 Supergravity

TL;DR

The paper demonstrates that stable de Sitter vacua can exist in N=2 supergravity by combining non-compact gaugings, de Roo–Wagemans symplectic rotations, and Fayet–Iliopoulos terms or hypermultiplet couplings. It constructs three explicit models, analyzes their scalar potentials, and shows positive vacuum energy with no tachyons, albeit with flat directions in some cases due to Goldstone modes and BEH effects. The results indicate that a delicate balance among the three ingredients yields stable de Sitter vacua and provide a path toward embedding into higher N theories and string theory, including a potential N=4 truncation on ST[6,6]. The work advances the understanding of how de Sitter phases might arise in supersymmetric theories and offers a framework for connecting these vacua to brane setups and string compactifications.

Abstract

We find extrema of the potential of matter couplings to N=2 supergravity that define de Sitter vacua and no tachyonic modes. There are three essential ingredients in our construction: namely non-abelian non-compact gaugings, de Roo-Wagemans rotation angles, and Fayet-Iliopoulos terms.

Figures (1)

• Figure 1: Potential (\ref{['VatS0']}) in units of $|e_0e_1\sin\theta |$ for $\delta =\pi /10$. For different values of $\delta$, the picture maintains the same shape.