Charting the landscape of (anti-) de Sitter and Minkowski solutions of 10d supergravities

Abstract

We classify solutions of 10d type IIA/B supergravities with orientifolds, on a 4d maximally symmetric spacetime times a 6d group manifold. We then look for new solutions in previously unexplored solution classes, and find some: (anti-) de Sitter solutions with intersecting O4, O6 and D6, or Minkowski solutions with 3 intersecting O5, among others. We provide the numerical code that we developed for this purpose. We also prove new no-go theorems against (anti-) de Sitter solutions. We finally conjecture the absence of de Sitter solution for 2 or less intersecting source sets, implying that a 4d effective theory with de Sitter is at most N=1 supersymmetric.

v1: 33 pages + appendices. The numerical code MaxSymSolSearch developed is provided here as an ancillary file. Two further Mathematica notebooks listing the old and new solutions are also provided. v2: minor additions. v3: few additions, published version

References in corpus (18)

• Lectures on Generalized Complex Geometry for Physicists
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• Charting the landscape of N=4 flux compactifications
• Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory
• Dimensional Reduction and (Anti) de Sitter Bounds
• Open problems on classical de Sitter solutions
• Scale-separated AdS${}_4$ vacua of IIA orientifolds and M-theory
• Intricacies of classical de Sitter string backgrounds
• Weak gravity versus de Sitter
• The unbearable lightness of charged gravitini
• Tachyonic de Sitter solutions of 10d type II supergravities
• Breeding realistic D-brane models
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
• Stable de Sitter Vacua in 4 Dimensional Supergravity Originating from 5 Dimensions
• The Complete Search for the Supersymmetric Pati-Salam Models from Intersecting D6-Branes
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation

Cited by in corpus (11)

• (Quasi-) de Sitter solutions across dimensions and the TCC bound
• Universal accelerating cosmologies from 10d supergravity
• Scale-separated AdS${}_3$ vacua from $G_2$-orientifolds using bispinors
• O6-plane backreaction on scale-separated Type IIA AdS${}_3$ vacua
• Negative scalar potentials and the swampland: an Anti-Trans-Planckian Censorship Conjecture
• Quantum gravity constraints on scale separation and de Sitter in five dimensions
• Seeking de-Sitter Vacua in the String Landscape
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation
• Goldstino condensation at large N
• Black holes and nilmanifolds: quasinormal modes as the fingerprints of extra dimensions?
• On the limitations of non-geometric fluxes to realize dS vacua