Fluxes in M-theory on 7-manifolds: G-structures and Superpotential

Abstract

We consider compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes, which leave at least four supercharges unbroken. We focus especially on the case, where the 7-manifold supports two spinors which are SU(3) singlets and the fluxes appear as specific SU(3) structures. We derive the constraints on the fluxes imposed by supersymmetry and calculate the resulting 4-dimensional superpotential.

32 pages, 1 figure, major changes in superpotential + typos corrected, refs. added

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• That's a wrap!
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Cited by in corpus (34)

• The effective action of Type IIA Calabi-Yau orientifolds
• Hitchin Functionals in N=2 Supergravity
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• General N = 1 Supersymmetric Fluxes in Massive Type IIA String Theory
• N=1 geometries for M-theory and type IIA strings with fluxes
• Scherk-Schwarz reduction of M-theory on G2-manifolds with fluxes
• On supersymmetric solutions of type IIB supergravity with general fluxes
• The effective action of type II Calabi-Yau orientifolds
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• AdS Strings with Torsion: Non-complex Heterotic Compactifications
• Notes on SU(3) Structures in Type IIB Supergravity
• SU(3)-instantons and $G_2,Spin(7)$-heterotic string solitons
• General Type IIB Fluxes with SU(3) Structures
• M-theory compactification, fluxes and AdS_4
• Classification of Supersymmetric Flux Vacua in M Theory
• Supersymmetric Backgrounds and Generalised Special Holonomy
• M-theory on seven-dimensional manifolds with SU(3) structure
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes
• Supersymmetric AdS Backgrounds in String and M-theory
• Flux Superpotential in Heterotic M-theory
• Eight-manifolds with G-structure in eleven dimensional supergravity
• The geometry of extended null supersymmetry in M-theory
• On T-folds, G-structures and Supersymmetry
• G_2 Domain Walls in M-theory
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• Weak $G_2$-manifolds and scale separation in M-theory from type IIA backgrounds
• Classifying Supergravity Solutions
• Flux and Freund-Rubin Superpotentials in M-theory
• On topological F-theory
• Type IIA Killing spinors and calibrations
• G2-structures for N=1 supersymmetric AdS4 solutions of M-theory
• BPS-like potential for compactifications of heterotic M-theory?
• Choices of spinor inner products on M-theory backgrounds