G-Structures, Fluxes and Calibrations in M-Theory

Abstract

We study the most general supersymmetric warped M-theory backgrounds with non-trivial G-flux of the type R^{1,2} x M_8 and AdS_3 x M_8. We give a set of necessary and sufficient conditions for preservation of supersymmetry which are phrased in terms of G-structures and their intrinsic torsion. These equations may be interpreted as calibration conditions for a static ``dyonic'' M-brane, that is, an M5-brane with self-dual three-form turned on. When the electric flux is turned off we obtain the supersymmetry conditions and non-linear PDEs describing M5-branes wrapped on associative and special Lagrangian three-cycles in manifolds with G_2 and SU(3) structures, respectively. As an illustration of our formalism, we recover the 1/2-BPS dyonic M-brane, and also construct some new examples.

40 pages; v2: one reference added, typos corrected

References in corpus (14)

• All supersymmetric solutions of minimal supergravity in five dimensions
• Non-Kaehler String Backgrounds and their Five Torsion Classes
• Superstrings with Intrinsic Torsion
• The Geometry of D=11 Killing Spinors
• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• Supersymmetric M-theory compactifications with fluxes on seven-manifolds and G-structures
• Holonomy and Symmetry in M-theory
• Fluxes in M-theory on 7-manifolds and G structures
• Intersecting brane solutions in string and M-theory
• Nontrivial RR two-form field strength and SU(3)-structure
• Flowing with Eight Supersymmetries in M-Theory and F-theory
• That's a wrap!
• M2-branes wrapped on holomorphic curves
• From wrapped M-branes to Calabi-Yau black holes and strings

Cited by in corpus (110)

• Flux compactifications in string theory: a comprehensive review
• All supersymmetric solutions of minimal supergravity in five dimensions
• Supersymmetric AdS_5 solutions of M-theory
• Flux-induced SUSY-breaking soft terms
• Supersymmetric AdS_5 Solutions of Type IIB Supergravity
• Supersymmetric D-branes and calibrations on general N=1 backgrounds
• AdS(3) Solutions of IIB Supergravity from D3-branes
• The Geometry of D=11 Null Killing Spinors
• The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions
• Bubbling Geometries for Half BPS Wilson lines
• Stable D-branes, calibrations and generalized Calabi-Yau geometry
• AdS spacetimes from wrapped M5 branes
• N=1 geometries for M-theory and type IIA strings with fluxes
• F-theory and AdS_3/CFT_2
• On supersymmetric solutions of type IIB supergravity with general fluxes
• Comments on AdS2 solutions of D=11 Supergravity
• A note on supersymmetric AdS_6 solutions of massive type IIA supergravity
• Branes on Generalized Calibrated Submanifolds
• The warped, resolved, deformed conifold gets flavoured
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Brane Effective Actions, Kappa-Symmetry and Applications
• M-theory Compactifications on Manifolds with G2 Structure
• Massive IIA flux compactifications and U-dualities
• Type IIB Killing spinors and calibrations
• D-branes on AdS flux compactifications
• 3D supergravity from wrapped M5-branes
• Fluxes in M-theory on 7-manifolds: G-structures and Superpotential
• Notes on SU(3) Structures in Type IIB Supergravity
• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• non-Abelian T-duality, G2-structure Rotation and Holographic Duals of N=1 Chern-Simons Theories
• M-theory compactification, fluxes and AdS_4
• M-theory on eight-manifolds revisited: N=1 supersymmetry and generalized Spin(7) structures
• Refining G-structure classifications
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• Supersymmetric Intersecting D6-branes and Fluxes in Massive Type IIA String Theory
• Supersymmetric ${\mathrm{AdS}}_3$ supergravity backgrounds and holography
• Fivebrane instantons and Calabi-Yau fourfolds with flux
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• Superstring Orientifolds with Torsion: O5 Orientifolds of Torus Fibrations and their Massless Spectra
• All $\mathcal{N}=(8,0)$ AdS${}_3$ solutions in 10 and 11 dimensions
• AdS${}_3$ solutions with $\mathcal{N}=(3,0)$ from S${}^3\times$S${}^3$ fibrations
• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• Supersymmetric Backgrounds, the Killing Superalgebra, and Generalised Special Holonomy
• M-theory on Spin(7) Manifolds, Fluxes and 3D, N=1 Supergravity
• Timelike Killing spinors in seven dimensions
• Electrified branes
• IIA supergravity and M-theory on manifolds with SU(4) structure
• On supersymmetric AdS${}_3$ solutions of Type II
• String vacua with flux from freely-acting obifolds
• AdS spacetimes from wrapped D3-branes
• Geometric algebra techniques in flux compactifications (II)
• Supersymmetric AdS Backgrounds in String and M-theory
• N=(0,4) Black String Chains
• Non-Supersymmetric F-Theory Compactifications on Spin(7) Manifolds
• Aspects of AdS${}_2$ classification in M-theory: Solutions with mesonic and baryonic charges
• Warped Strings: Self-dual Flux and Contemporary Compactifications
• Topological charges for branes in M-theory
• The free energy of N=2 supersymmetric AdS_4 solutions of M-theory
• Foliated eight-manifolds for M-theory compactification
• Null structure groups in eleven dimensions
• Generalised Structures for $\mathcal{N}=1$ AdS Backgrounds
• Non-perturbative vacua for M-theory on G2 manifolds
• Eight-manifolds with G-structure in eleven dimensional supergravity
• The geometry of extended null supersymmetry in M-theory
• Geometric algebra techniques in flux compactifications
• G_2 Domain Walls in M-theory
• Non-integrability in AdS${}_3$ vacua
• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• M2-branes wrapped on holomorphic curves
• Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory
• N=1 supersymmetric solutions of IIB supergravity
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• A Family of M-theory Flows with Four Supersymmetries
• Five dimensional 2-branes from special Lagrangian wrapped M5-branes
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• Classifying Supergravity Solutions
• Wrapped M5-branes leading to five dimensional 2-branes
• Type IIA Killing spinors and calibrations
• Mink${}_3\times S^3$ solutions of type II supergravity
• Symplectic covariance of the N=2 hypermultiplets
• The many symmetries of Calabi-Yau compactifications
• The Holographic Dual of 2+1 Dimensional QFTs with N=1 SUSY and Massive Fundamental Flavours
• A Landscape of Field Theories
• PP-Waves, M-Theory and Fluxes
• Erice lectures on "The status of local supersymmetry"
• Calibrations, Torsion Classes and Wrapped M-Branes
• Flux Compactification of M-theory on Compact Manifolds with Spin(7) Holonomy
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• Parabolic Dimensional Reductions of 11D Supergravity
• The Geometry of M-Branes Wrapping Special Lagrangian Cycles
• Four-dimensional SYM probes in wrapped M5-brane backgrounds
• Five dimensional 2-branes and the universal hypermultiplet
• Generalised Calibrations in AdS backgrounds from Exceptional Sasaki-Einstein Structures
• String Corrected Spacetimes and SU(N)-Structure Manifolds
• On special geometry of the moduli space of string vacua with fluxes
• A Geometric Construction of Solutions to 11D Supergravity
• Revisiting eight-manifold flux compactifications of M-theory using geometric algebra techniques
• Foliated backgrounds for M-theory compactifications (I)
• Foliated backgrounds for M-theory compactifications (II)
• Choices of spinor inner products on M-theory backgrounds
• A generalization of Calabi-Yau fourfolds arising from M-theory compactifications
• Central charges of wrapped M5-brane backgrounds
• An Introduction to Potential Theory in Calibrated Geometry
• The moduli space of hyper-K{ä}hler four-fold compactifications
• Five-dimensional null & time-like supersymmetric geometries
• Which BPS Baryons Minimize Volume?
• Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics
• Decomposable $(5,6)$-solutions in eleven-dimensional supergravity
• Dynamical Tadpoles and Weak Gravity Constraints
• New constrained generalized Killing spinor field classes in warped flux compactifications