Minkowski flux vacua of type II supergravities

Abstract

We study flux compactifications of 10d type II supergravities to 4d Minkowski space-time, supported by parallel orientifold Op-planes with 3 $\le$ p $\le$ 8. With some restrictions, the 4d Ricci scalar can be written as a negative sum of squares involving BPS-like conditions. Setting all squares to zero provides automatically a solution to 10d equations of motion. This way, we characterize a broad class, if not the complete set, of Minkowski flux vacua. We also conjecture an extension to include non-geometric fluxes. None of our results rely on supersymmetry.

5 pages; v2: Phys. Rev. Lett. published version; v3: Minor revision, one extra constraint required to obtain our class of 10d solutions

References in corpus (1)

• Smeared versus localised sources in flux compactifications

Cited by in corpus (20)

• What if string theory has no de Sitter vacua?
• New constraints on classical de Sitter: flirting with the swampland
• Signatures of extra dimensions in gravitational waves
• Refining the boundaries of the classical de Sitter landscape
• Open problems on classical de Sitter solutions
• No-scale and scale-separated flux vacua from IIA on G2 orientifolds
• The Boundaries of KKLT
• On classical de Sitter and Minkowski solutions with intersecting branes
• Minkowski${}_4$ $\times$ $S^2$ solutions of IIB supergravity
• Minimal flux Minkowski classification
• Charting the landscape of (anti-) de Sitter and Minkowski solutions of 10d supergravities
• Laplacian spectrum on a nilmanifold, truncations and effective theories
• Type IIA Flux Vacua with Mobile D6-branes
• Gravitational waves in warped compactifications
• Constraints and Horizons for de Sitter with Extra Dimensions
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
• No-Go theorems for ekpyrosis from ten-dimensional supergravity
• Warp factor and the gravitational wave spectrum
• Mink${}_3\times S^3$ solutions of type II supergravity
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation