Type-IIA flux compactifications and N=4 gauged supergravities

Abstract

We establish the precise correspondence between Type-IIA flux compactifications preserving an exact or spontaneously broken N=4 supersymmetry in four dimensions, and gaugings of their effective N=4 supergravities. We exhibit the explicit map between fluxes and Bianchi identities in the higher-dimensional theory and generalized structure constants and Jacobi identities in the reduced theory, also detailing the origin of gauge groups embedded at angles in the duality group. We present AdS4 solutions of the massive Type-IIA theory with spontaneous breaking to N=1, at small string coupling and large volume, and discuss their dual CFT3.

43 pages, 1 figure. v2: refs added, v3: minor additions. Final version to appear on JHEP

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• The Swampland: Introduction and Review
• Exploring Double Field Theory
• Towards Classical de Sitter Solutions in String Theory
• Duality orbits of non-geometric fluxes
• De Sitter hunting in a classical landscape
• The effective action of Double Field Theory
• Flux moduli stabilisation, Supergravity algebras and no-go theorems
• On Classical de Sitter Vacua in String Theory
• Charting the landscape of N=4 flux compactifications
• Complete classification of Minkowski vacua in generalised flux models
• Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds
• New constraints on classical de Sitter: flirting with the swampland
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• U-dual fluxes and Generalized Geometry
• Open problems on classical de Sitter solutions
• On Type IIB moduli stabilization and N = 4, 8 supergravities
• Conformal chiral boson models on twisted doubled tori and non-geometric string vacua
• Flux Compactifications, Gauge Algebras and De Sitter
• How to halve maximal supergravity
• Exceptional Flux Compactifications
• Dimensional Oxidation of Non-geometric Fluxes in Type II Orientifolds
• BPS objects in D=7 supergravity and their M-theory origin
• Double Field Theory at SL(2) angles
• On Fayet-Iliopoulos terms and de Sitter vacua in supergravity: some easy pieces
• Supersymmetric RG flows and Janus from type II orbifold compactification
• On Large N Solution of Gaiotto-Tomasiello Theory
• Revisiting the two formulations of Bianchi identities and their implications on moduli stabilization
• Laplacian spectrum on a nilmanifold, truncations and effective theories
• Dimensional oxidation and modular completion of non-geometric type IIB action
• Dictionary for the type II nongeometric flux compactifications
• A swamp of non-SUSY vacua
• Rigid nongeometric orientifolds and the swampland
• Implementing odd-axions in dimensional oxidation of non-geometric type IIB action
• Lobotomy of Flux Compactifications
• A symplectic rearrangement of the four dimensional non-geometric scalar potential
• Universal isolation in the AdS landscape
• Reading off the non-geometric scalar potentials via topological data of the Calabi Yau manifolds
• 6D (1,1) Gauged Supergravities from Orientifold Compactifications
• On modular completion of generalized flux orbits
• KK-monopoles and G-structures in M-theory/type IIA reductions
• The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds
• Enhanced supersymmetry from vanishing Euler number
• Symplectic formulation of the type IIA nongeometric scalar potential
• On stable type IIA de-Sitter vacua with geometric flux
• A second look at gauged supergravities from fluxes in M-theory
• Geometric non-geometry
• The Three Dimensional Dual of 4D Chirality
• Electrically gauged N=4 supergravities in D=4 with N=2 vacua
• Taxonomy of scalar potential with U-dual fluxes
• On the limitations of non-geometric fluxes to realize dS vacua
• Dimensional Reductions of DFT and Mirror Symmetry for Calabi-Yau Three-folds and $K3\times T^2$
• A Massive S-duality in 4 dimensions
• Duality phases and halved maximal D=4 supergravity
• On Formulating the Non-Geometric Scalar Potentials