Lobotomy of Flux Compactifications

Abstract

We provide the dictionary between four-dimensional gauged supergravity and type II compactifications on ${\mathbb{T}}^6$ with metric and gauge fluxes in the absence of supersymmetry breaking sources, such as branes and orientifold planes. Secondly, we prove that there is a unique isotropic compactification allowing for critical points. It corresponds to a type IIA background given by a product of two 3-tori with SO(3) twists and results in a unique theory (gauging) with a non-semisimple gauge algebra. Besides the known four AdS solutions surviving the orientifold projection to $\mathcal{N}=4$ induced by O6-planes, this theory contains a novel AdS solution that requires non-trivial orientifold-odd fluxes, hence being a genuine critical point of the $\mathcal{N}=8$ theory.

44 pages (33 pages + appendices), 13 tables, 3 figures

References in corpus (23)

• Generalised Geometry for M-Theory
• Generalized Geometry and M theory
• Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB
• Exceptional Field Theory III: E${}_{8(8)}$
• Inflationary Constraints on Type IIA String Theory
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• On Classical de Sitter Vacua in String Theory
• Charting the landscape of N=4 flux compactifications
• Type-IIA flux compactifications and N=4 gauged supergravities
• A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity
• U-dual fluxes and Generalized Geometry
• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• Algebras and non-geometric flux vacua
• How to halve maximal supergravity
• Black holes in $\omega$-defomed gauged $N=8$ supergravity
• New Supersymmetric and Stable, Non-Supersymmetric Phases in Supergravity and Holographic Field Theory
• Electric/magnetic duality and RG flows in AdS4/CFT3
• An $\omega$ Deformation of Gauged STU Supergravity
• Beyond Twisted Tori
• On general flux backgrounds with localized sources
• The embedding tensor of Scherk-Schwarz flux compactifications from eleven dimensions
• A Note on the CFT Origin of the Strong Constraint of DFT

Cited by in corpus (10)

• Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
• Cosmology of bigravity with doubly coupled matter
• Trace Anomaly and Counterterms in Designer Gravity
• Hairy Black Holes and Duality in an Extended Supergravity Model
• Double Field Theory at SL(2) angles
• Universal isolation in the AdS landscape
• 6D (1,1) Gauged Supergravities from Orientifold Compactifications
• Type IIB on $S^3\times S^3$ through $Q$ & $P$ fluxes
• A second look at gauged supergravities from fluxes in M-theory
• Geometric non-geometry