N=1 geometries for M-theory and type IIA strings with fluxes
arXiv:hep-th/0311146 · doi:10.1103/PhysRevD.69.066004
Abstract
We derive a set of necessary and sufficient conditions for obtaining N=1 backgrounds of M-theory and type IIA strings in the presence of fluxes. Our metrics are warped products of four-dimensional Minkowski space-time with a curved internal manifold. We classify the different solutions for irreducible internal manifolds as well as for manifolds with isometries by employing the formalism of group structures and intrinsic torsion. We provide examples within these various classes along with general techniques for their construction. In particular, we generalize the Hitchin flow equations so that one can explicitly build irreducible 7-manifolds with 4-form flux. We also show how several of the examples found in the literature fit in our framework and suggest possible generalizations.
arXiv comment36 pages, typos corrected, comments and references added, final version to appear in Phys. Rev. D
References in corpus (54)
- Hierarchies from Fluxes in String Compactifications
- CFT's From Calabi-Yau Four-folds
- M Theory, Orientifolds and G-Flux
- M-Theory on Eight-Manifolds
- Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from Intersecting D6-Branes
- Moduli Stabilization from Fluxes in a Simple IIB Orientifold
- New Vacua for Type II String Theory
- RR Flux on Calabi-Yau and Partial Supersymmetry Breaking
- New Supersymmetric String Compactifications
- Non-Kaehler String Backgrounds and their Five Torsion Classes
- Superstrings with Intrinsic Torsion
- The Geometry of D=11 Killing Spinors
- G-Structures and Wrapped NS5-Branes
- On the Vacuum Structure of Type II String Compactifications on Calabi-Yau Spaces with H-Fluxes
- Mirror Symmetry in Generalized Calabi-Yau Compactifications
- Solitons, Superpotentials and Calibrations
- Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes
- Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry
- Geometric Model for Complex Non-Kaehler Manifolds with SU(3) Structure
- Compactifications of Heterotic Theory on Non-Kahler Complex Manifolds: I
- Compactification with Flux on K3 and Tori
- On Supersymmetry Breaking in String Theory and its Realization in Brane Worlds
- G-Structures, Fluxes and Calibrations in M-Theory
- Mirror symmetric SU(3)-structure manifolds with NS fluxes
- Supersymmetry and generalized calibrations
- The Geometry of D=11 Null Killing Spinors
- Type IIB supergravity compactified on a Calabi-Yau manifold with H-fluxes
- Four-Flux and Warped Heterotic M-Theory Compactifications
- Localized intersections of M5-branes and four-dimensional superconformal field theories
- Supersymmetric M-theory compactifications with fluxes on seven-manifolds and G-structures
- Properties Of Heterotic Vacua From Superpotentials
- AdS Calibrations
- Kaluza-Klein bundles and manifolds of exceptional holonomy
- A Note on Compactifications on Spin(7)-Holonomy Manifolds
- Compactifying M-Theory to Four Dimensions
- Enlarging the Parameter Space of Heterotic M-Theory Flux Compactifications to Phenomenological Viability
- Fluxes in Heterotic and Type II String Compactifications
- Fluxes in M-theory on 7-manifolds and G structures
- Intersecting brane solutions in string and M-theory
- An Orientifold with Fluxes and Branes via T-duality
- The Standard Model on the Quintic
- Fluxes in M-theory on 7-manifolds: G-structures and Superpotential
- Fluxes and Branes in Type II Vacua and M-theory Geometry with G(2) and Spin(7) Holonomy
- Almost Hermitian Geometry on Six Dimensional Nilmanifolds
- Anomaly, Fluxes and (2,0) Heterotic-String Compactifications
- Nontrivial RR two-form field strength and SU(3)-structure
- Heterotic String Theory with Background Fluxes
- Supersymmetric Intersecting D6-branes and Fluxes in Massive Type IIA String Theory
- N=1 M5-brane geometries
- A Calibration Bound for the M-Theory Fivebrane
- String vacua with flux from freely-acting obifolds
- Supersymmetry, G-flux and Spin(7) manifolds
- That's a wrap!
- Complex structures on nilpotent Lie algebras
Cited by in corpus (56)
- Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
- Flux compactifications in string theory: a comprehensive review
- Type IIA Moduli Stabilization
- Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
- Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold
- Supersymmetric AdS(4) compactifications of IIA supergravity
- Heterotic on Half-flat
- General N = 1 Supersymmetric Fluxes in Massive Type IIA String Theory
- Effective action of (massive) IIA on manifolds with SU(3) structure
- Scherk-Schwarz reduction of M-theory on G2-manifolds with fluxes
- On supersymmetric solutions of type IIB supergravity with general fluxes
- Branes on Generalized Calibrated Submanifolds
- Geometric Transitions, Flops and Non-Kahler Manifolds: II
- Supersymmetric compactifications of heterotic strings with fluxes and condensates
- In the Realm of the Geometric Transitions
- AdS Strings with Torsion: Non-complex Heterotic Compactifications
- M-theory Compactifications on Manifolds with G2 Structure
- Type IIB Killing spinors and calibrations
- Fluxes in M-theory on 7-manifolds: G-structures and Superpotential
- Notes on SU(3) Structures in Type IIB Supergravity
- AdS vacua with scale separation from IIB supergravity
- General Type IIB Fluxes with SU(3) Structures
- M-theory compactification, fluxes and AdS_4
- N=1,2 supersymmetric vacua of IIA supergravity and SU(2) structures
- Classification of Supersymmetric Flux Vacua in M Theory
- M-theory on seven-dimensional manifolds with SU(3) structure
- Supersymmetric Backgrounds and Generalised Special Holonomy
- Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
- Superstring Orientifolds with Torsion: O5 Orientifolds of Torus Fibrations and their Massless Spectra
- Dimensional Reduction of ten-dimensional Supersymmetric Gauge Theories in the N=1, D=4 Superfield Formalism
- Supersymmetric AdS Backgrounds in String and M-theory
- Domain Walls, Hitchin's Flow Equations and G_2-Manifolds
- R^4 Corrections to Heterotic M-theory
- Metastable Quivers in String Compactifications
- Flux Superpotential in Heterotic M-theory
- Consistent reductions from D=11 beyond Sasaki-Einstein
- Marginal deformations of 3d CFTs from AdS backgrounds in generalised geometry
- Non-perturbative vacua for M-theory on G2 manifolds
- On T-folds, G-structures and Supersymmetry
- G_2 Domain Walls in M-theory
- supersymmetric AdS in 10 dimensions
- Uplifting the Iwasawa
- Generalising G geometry: involutivity, moment maps and moduli
- Coset Space Dimensional Reduction and Wilson Flux Breaking of Ten-Dimensional N=1, E(8) Gauge Theory
- On topological F-theory
- Type IIA Killing spinors and calibrations
- Aspects of moduli stabilisation in string and M-theory
- Gaugino Condensation and Generation of Supersymmetric 3-Form Flux
- N=1 SUSY AdS4 vacua in IIB SUGRA on group manifolds
- holonomy metrics and wrapped D6-branes
- Flow Equations for Uplifting Half-Flat to Spin(7) Manifolds
- G2-structures for N=1 supersymmetric AdS4 solutions of M-theory
- Gauged supergravities from M-theory reductions
- Choices of spinor inner products on M-theory backgrounds
- Pin(d,d) covariance of pure spinor equations for supersymmetric vacua and Non-Abelian T-duality
- Dynamical Tadpoles and Weak Gravity Constraints