Flux Compactifications, Gauge Algebras and De Sitter

Abstract

The introduction of (non-)geometric fluxes allows for N=1 moduli stabilisation in a De Sitter vacuum. The aim of this letter is to assess to what extent this is true in N=4 compactifications. First we identify the correct gauge algebra in terms of gauge and (non-)geometric fluxes. We then show that this algebra does not lead to any of the known gaugings with De Sitter solutions. In particular, the gaugings that one obtains from flux compactifications involve non-semi-simple algebras, while the known gaugings with De Sitter solutions consist of direct products of (semi-)simple algebras.

8 pages. v2: footnote and refs added, published version

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• On the distribution of stable de Sitter vacua
• Charting the landscape of N=4 flux compactifications
• Universal de Sitter solutions at tree-level
• Stability Constraints on Classical de Sitter Vacua
• Non-geometric backgrounds in string theory
• β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework
• New constraints on classical de Sitter: flirting with the swampland
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• de Sitter extrema and the swampland
• More stable dS vacua from S-dual non-geometric fluxes
• Open problems on classical de Sitter solutions
• On Type IIB moduli stabilization and N = 4, 8 supergravities
• Weakly Coupled de Sitter Vacua with Fluxes and the Swampland
• Tachyons in Classical de Sitter Vacua
• How to halve maximal supergravity
• On classical de Sitter solutions in higher dimensions
• Accelerated Universes from type IIA Compactifications
• Exceptional Flux Compactifications
• BPS objects in D=7 supergravity and their M-theory origin
• Intricacies of classical de Sitter string backgrounds
• Double Field Theory at SL(2) angles
• A new light on the darkest corner of the landscape
• Tachyonic de Sitter solutions of 10d type II supergravities
• A swamp of non-SUSY vacua
• Integrable Scalar Cosmologies II. Can they fit into Gauged Extended Supergavity or be encoded in N=1 superpotentials?
• Lobotomy of Flux Compactifications
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
• New gaugings and non-geometry
• 6D (1,1) Gauged Supergravities from Orientifold Compactifications
• The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds
• Type IIB on $S^3\times S^3$ through $Q$ & $P$ fluxes
• Gauged Supergravities and the Physics of Extra Dimensions
• Open Strings in IIB Orientifold Reductions
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• $d{S}_4$ vacua from matter-coupled 4D N=4 gauged supergravity
• Near-Horizon geometry from flux compactification
• Gaugings and other aspects in supergravity