De Sitter in Extended Supergravity

TL;DR

The paper demonstrates that de Sitter solutions in extended gauged supergravity are interconnected via supersymmetry-breaking truncations, showing that all known N=8 DS models map to a subset of N=4 models and that a different subset of N=4 models yield stable DS vacua in N=2 theories. It systematically analyzes N=4 gaugings, the N=8→N=4 truncation, and the N=4→N=2 truncation, identifying stability criteria and presenting new unstable N=4 and stable N=2 vacua. Five stable N=2 DS vacua are identified, including two fully stable hypermultiplet configurations, with detailed spectra illustrating the role of direct-product gauge groups, SL(2) angles, and hypersector interactions. The results offer a unified perspective on known DS gaugings and point to future directions for higher-dimensional origins and broader truncation schemes.

Abstract

We show that known de Sitter solutions in extended gauged supergravity theories are interrelated via a web of supersymmetry-breaking truncations. In particular, all N=8 models reduce to a subset of the N=4 possibilities. Furthermore, a different subset of the N=4 models can be truncated to stable de Sitter vacua in N=2 theories. In addition to relations between the known cases, we also find new (un)stable models.