Minimal flux Minkowski classification

Abstract

We classify Minkowski${}_4$ solutions in type IIA supergravity, with N=2 supersymmetry and an SU(2) R-symmetry of a certain type. Many subcases can be reduced to relatively simple PDEs, among which we recover various intersecting brane systems, and AdS${}_d$ solutions, $d=5,6,7$, and in particular the recently found general massive AdS${}_7$ solutions. Imposing compactness of the internal six-manifold we obtain promising solutions with localized D-branes and O-planes.

v2: Result slightly strengthened, typos corrected. v3: Published Version

References in corpus (6)

• AdS_6 solutions of type II supergravity
• Brane webs and 1/4-BPS geometries
• Type IIB flux vacua from G-theory II
• Holography, Brane Intersections and Six-dimensional SCFTs
• Type IIB flux vacua from G-theory I
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Cited by in corpus (23)

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• AdS${}_3$ solutions in massive IIA, defect CFTs and T-duality
• Open problems on classical de Sitter solutions
• Integrability and Holographic Aspects of Six-Dimensional $\mathcal{N}=(1,0)$ Superconformal Field Theories
• AdS${}_7$/CFT${}_6$ with orientifolds
• Type II Solutions on AdS${}_3\times S^3\times S^3$ with Large Superconformal Symmetry
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• AdS5 compactifications with punctures in massive IIA supergravity
• On classical de Sitter and Minkowski solutions with intersecting branes
• Minkowski${}_4$ $\times$ $S^2$ solutions of IIB supergravity
• Charting the landscape of (anti-) de Sitter and Minkowski solutions of 10d supergravities
• Gravitational waves in warped compactifications
• Non-integrability in AdS${}_3$ vacua
• Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory
• The geometry of $\mathcal{N}=3$ AdS${}_4$ in massive IIA
• Breaking supersymmetry with pure spinors
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA
• Mink${}_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity
• G2-structures for N=1 supersymmetric AdS4 solutions of M-theory
• On SUSY-breaking Moduli Spaces of AdS${}_7$ Vacua and 6D SCFTs
• Marginally deformed AdS${}_5$/CFT${}_4$ Backgrounds in Type IIB
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries