Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation

TL;DR

This paper classifies and analyzes various 10d supergravity solutions with different 4d spacetimes, exploring their properties, stability, and scale separation, and proposing a new conjecture about massless scalars in Minkowski solutions.

Contribution

It introduces new solutions, develops numerical tools for Lie algebra classification, and proposes the Massless Minkowski Conjecture, advancing understanding of supergravity landscape.

Findings

Identified all Lie algebras underlying 6d group manifolds.

Proved no-go theorems related to scale separation.

Proposed the Massless Minkowski Conjecture.

Abstract

We classified in arXiv:2201.04152 certain 10d supergravity solutions with a 4d de Sitter, Minkowski or anti-de Sitter spacetime. We then found new solutions in previously unexplored classes. In this paper we study their properties, compare them to swampland conjectures, and make new observations. Using new numerical tools, we first identify all Lie algebras underlying the 6d group manifolds, allowing us to discuss their compactness. We then investigate scale separation, and prove related no-go theorems. Last but not least, we automatize and analyze the stability of all solutions. This leads us to propose the Massless Minkowski Conjecture, claiming the systematic presence of a 4d massless scalar field.