Superstrings with Intrinsic Torsion

Abstract

We systematically analyse the necessary and sufficient conditions for the preservation of supersymmetry for bosonic geometries of the form R^{1,9-d} \times M_d, in the common NS-NS sector of type II string theory and also type I/heterotic string theory. The results are phrased in terms of the intrinsic torsion of G-structures and provide a comprehensive classification of static supersymmetric backgrounds in these theories. Generalised calibrations naturally appear since the geometries always admit NS or type I/heterotic fivebranes wrapping calibrated cycles. Some new solutions are presented. In particular we find d=6 examples with a fibred structure which preserve N=1,2,3 supersymmetry in type II and include compact type I/heterotic geometries.

58 pages, LaTeX; v2: New section on solutions including an example with N=3 supersymmetry and discussion of heterotic compactifications. Details on conventions and references added. v3: added an explicit example of non-integrable product structure in Appendix C; some typos fixed

References in corpus (39)

• Supergravity description of field theories on curved manifolds and a no go theorem
• M Theory, Orientifolds and G-Flux
• Towards the large N limit of pure N=1 super Yang Mills
• All supersymmetric solutions of minimal supergravity in five dimensions
• Non-Kaehler String Backgrounds and their Five Torsion Classes
• Constraints on Low-Dimensional String Compactifications
• The Geometry of D=11 Killing Spinors
• G-Structures and Wrapped NS5-Branes
• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• N=3 Warped Compactifications
• 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
• Complex geometry of conifolds and 5-brane wrapped on 2-sphere
• Hyper-Kahler manifolds and multiply-intersecting branes
• The supergravity dual of a theory with dynamical supersymmetry breaking
• Compactification with Flux on K3 and Tori
• Heterotic Strings with Torsion
• Supersymmetry and generalized calibrations
• Geometry of Hyper-Kähler Connections with Torsion
• Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds
• Fivebranes Wrapped On Associative Three-Cycles
• Wrapped fivebranes and N=2 super Yang-Mills theory
• Seven Dimensional Octonionic Yang-Mills Instanton and its Extension to an Heterotic String Soliton
• A no-go theorem for string warped compactifications
• AdS Calibrations
• N=2 Gauge Theories from Wrapped Five-branes
• Kaluza-Klein bundles and manifolds of exceptional holonomy
• Fluxes in M-theory on 7-manifolds and G structures
• Worldsheet Descriptions of Wrapped NS Five-Branes
• Off-Shell Formulation of N=2 Non-Linear Sigma-Models
• N=2 Boundary conditions for non-linear sigma models and Landau-Ginzburg models
• Nontrivial RR two-form field strength and SU(3)-structure
• D=2+1 N=2 Yang-Mills Theory From Wrapped Branes
• Various Wrapped Branes from Gauged Supergravities
• Geometry of Quaternionic Kähler connections with torsion
• S^1-wrapped D3-branes on Conifolds
• Brane Solitons and Hypercomplex Structures
• Resolution of Overlapping Branes

Cited by in corpus (224)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux compactifications in string theory: a comprehensive review
• All supersymmetric solutions of minimal supergravity in five dimensions
• Type IIA Moduli Stabilization
• Generalized structures of N=1 vacua
• Supersymmetric AdS_5 solutions of M-theory
• Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold
• Supersymmetric AdS(4) compactifications of IIA supergravity
• Hitchin Functionals in N=2 Supergravity
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• Supersymmetric AdS_5 Solutions of Type IIB Supergravity
• D-branes on general N=1 backgrounds: superpotentials and D-terms
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Supersymmetric D-branes and calibrations on general N=1 backgrounds
• Compactifications of Heterotic Strings on Non-Kahler Complex Manifolds: II
• G-Structures, Fluxes and Calibrations in M-Theory
• Lectures on Generalized Complex Geometry for Physicists
• General N = 1 Supersymmetric Flux Vacua of (Massive) Type IIA String Theory
• Heterotic on Half-flat
• General N = 1 Supersymmetric Fluxes in Massive Type IIA String Theory
• Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
• On the Taxonomy of Flux Vacua
• The Srni lectures on non-integrable geometries with torsion
• RR photons
• Heterotic String Theory on non-Kaehler Manifolds with H-Flux and Gaugino Condensate
• Lectures on Nongeometric Flux Compactifications
• Stable D-branes, calibrations and generalized Calabi-Yau geometry
• Generalised $G_2$-structures and type IIB superstrings
• Supersymmetric M-theory compactifications with fluxes on seven-manifolds and G-structures
• Heterotic supersymmetry, anomaly cancellation and equations of motion
• The spinorial geometry of supersymmetric heterotic string backgrounds
• AdS spacetimes from wrapped M5 branes
• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• Algebroids, Heterotic Moduli Spaces and the Strominger System
• Non-Kaehler Heterotic String Compactifications with non-zero fluxes and constant dilaton
• N=1 geometries for M-theory and type IIA strings with fluxes
• On supersymmetric solutions of type IIB supergravity with general fluxes
• Geometry of all supersymmetric type I backgrounds
• Local Heterotic Torsional Models
• Branes on Generalized Calibrated Submanifolds
• The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• The warped, resolved, deformed conifold gets flavoured
• Generalized N=(2,2) Supersymmetric Non-Linear Sigma Models
• Supersymmetric compactifications of heterotic strings with fluxes and condensates
• Brane Effective Actions, Kappa-Symmetry and Applications
• E7(7) formulation of N=2 backgrounds
• In the Realm of the Geometric Transitions
• AdS Strings with Torsion: Non-complex Heterotic Compactifications
• M-theory Compactifications on Manifolds with G2 Structure
• On the geometry of closed G2-structure
• Branes, Calibrations and Supergravity
• D-branes on AdS flux compactifications
• Type IIB Killing spinors and calibrations
• D6-branes and torsion
• Orbifolds, fuzzy spheres and chiral fermions
• Notes on SU(3) Structures in Type IIB Supergravity
• Fluxes in M-theory on 7-manifolds: G-structures and Superpotential
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• More on BPS solutions of N=2, D=4 gauged supergravity
• Special metric structures and closed forms
• AdS vacua with scale separation from IIB supergravity
• Linear Sigma Models with Torsion
• Heterotic Flux Compactifications and Their Moduli
• SU(3)-instantons and $G_2,Spin(7)$-heterotic string solitons
• General Type IIB Fluxes with SU(3) Structures
• Connections, Field Redefinitions and Heterotic Supergravity
• DWSB in heterotic flux compactifications
• Generalized Kaehler Potentials from Supergravity
• N=1,2 supersymmetric vacua of IIA supergravity and SU(2) structures
• M-theory compactification, fluxes and AdS_4
• non-Abelian T-duality, G2-structure Rotation and Holographic Duals of N=1 Chern-Simons Theories
• Heterotic compactifications and nearly-Kahler manifolds
• Supersymmetric Backgrounds and Generalised Special Holonomy
• Refining G-structure classifications
• M-theory on seven-dimensional manifolds with SU(3) structure
• Supersymmetric Intersecting D6-branes and Fluxes in Massive Type IIA String Theory
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• Topological M-theory as Unification of Form Theories of Gravity
• Fermions on the Anti-Brane: Higher Order Interactions and Spontaneously Broken Supersymmetry
• Heterotic Resolved Conifolds with Torsion, from Supergravity to CFT
• N=1 vacua in Exceptional Generalized Geometry
• Rigid 6D supersymmetry and localization
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• The infinitesimal moduli space of heterotic $G_2$ systems
• Curvature decomposition of G_2 manifolds
• Classification, geometry and applications of supersymmetric backgrounds
• Calabi-Yau Duals of Torus Orientifolds
• T-folds, doubled geometry, and the SU(2) WZW model
• Hermitian-Yang-Mills equations and pseudo-holomorphic bundles on nearly Kaehler and nearly Calabi-Yau twistor 6-manifolds
• Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds
• Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes
• Flux Vacua Statistics for Two-Parameter Calabi-Yau's
• On The Warped Heterotic Axion
• Electrified branes
• Timelike Killing spinors in seven dimensions
• IIA supergravity and M-theory on manifolds with SU(4) structure
• AdS spacetimes from wrapped D3-branes
• Flux compactification on smooth, compact three-dimensional toric varieties
• Geometric algebra techniques in flux compactifications (II)
• Calibrated cycles and T-duality
• Comments on Heterotic Flux Compactifications
• D3-D5 theories with unquenched flavors
• Domain Walls, Hitchin's Flow Equations and G_2-Manifolds
• Supersymmetric AdS Backgrounds in String and M-theory
• Index Theorems on Torsional Geometries
• Heterotic compactifications on SU(2)-structure backgrounds
• Aspects of AdS${}_2$ classification in M-theory: Solutions with mesonic and baryonic charges
• Infinitesimal moduli of G2 holonomy manifolds with instanton bundles
• No-scale supersymmetry breaking vacua and soft terms with torsion
• Topological charges for branes in M-theory
• Warped Strings: Self-dual Flux and Contemporary Compactifications
• IIB supergravity on manifolds with SU(4) structure and generalized geometry
• R^4 Corrections to Heterotic M-theory
• Connections on non-symmetric (generalized) Riemannian manifold and gravity
• Structures in the Gauge/Gravity Duality Cascade
• Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
• Heterotic supersymmetric backgrounds with compact holonomy revisited
• On the geometry of string duals with backreacting flavors
• Non-Kaehler Heterotic String Solutions with non-zero fluxes and non-constant dilaton
• BPS Action and Superpotential for Heterotic String Compactifications with Fluxes
• Null structure groups in eleven dimensions
• Dipole-Deformed Bound States and Heterotic Kodaira Surfaces
• Type II compactifications on manifolds with SU(2) x SU(2) structure
• On some properties of the manifolds with skew-symmetric torsion and holonomy SU(n) and Sp(n)
• Non-perturbative vacua for M-theory on G2 manifolds
• Geometric algebra techniques in flux compactifications
• Supersymmetric AdS_3 solutions in Heterotic Supergravity
• Spin(7)-manifolds in compactifications to four dimensions
• On T-folds, G-structures and Supersymmetry
• Domain Walls, Triples and Acceleration
• Heterotic Sigma Models with N=2 Space-Time Supersymmetry
• Twisted tori and fluxes: a no go theorem for Lie groups of weak G_2 holonomy
• Uplifting the Iwasawa
• Chiral Generations on Intersecting 5-branes in Heterotic String Theory
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Compact supersymmetric solutions of the heterotic equations of motion in dimension 5
• A Family of M-theory Flows with Four Supersymmetries
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• A Note on Heterotic Dualities via M-theory
• Geometric Transitions on non-Kaehler Manifolds
• The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds
• Balanced Hermitian metrics from SU(2)-structures
• Orbifold Phases of Heterotic Flux Vacua
• Spacetime supersymmetry in low-dimensional perturbative heterotic compactifications
• Gauge/Gravity Duality in Heterotic String Theory
• Missing Mirrors: Type IIA Supergravity on the Resolved Conifold
• Coset Space Dimensional Reduction and Wilson Flux Breaking of Ten-Dimensional N=1, E(8) Gauge Theory
• New Heterotic Non-Kahler Geometries
• Type IIA orientifold compactification on SU(2)-structure manifolds
• Classifying Supergravity Solutions
• On topological F-theory
• Killing-Yano tensor and supersymmetry of the self-dual Plebanski-Demianski solution
• Remarks on string solitons
• Type IIA Killing spinors and calibrations
• Calabi-Yau Manifolds and SU(3) Structure
• Gaugino Condensation and Generation of Supersymmetric 3-Form Flux
• A Heterotic Flux Background and Calibrated Five-Branes
• Aspects of moduli stabilisation in string and M-theory
• Non-Kahler Resolved Conifold, Localized Fluxes in M-Theory and Supersymmetry
• Mink${}_3\times S^3$ solutions of type II supergravity
• The Holographic Dual of 2+1 Dimensional QFTs with N=1 SUSY and Massive Fundamental Flavours
• Heterotic Kahler/non-Kahler Transitions
• Geometry of type II common sector N=2 backgrounds
• AdS Vacua, Attractor Mechanism and Generalized Geometries
• On a Completely Antisymmetric Cartan Torsion Tensor
• Toward NS5 Branes on the Resolved Cone over Y^{p,q}
• Towards the Massless Spectrum of Non-Kahler Heterotic Compactifications
• Knot Invariants and M-Theory I: Hitchin Equations, Chern-Simons Actions, and the Surface Operators
• On $\mathcal{M}$-Theory Dual of Large-$N$ Thermal QCD-Like Theories up to $\mathcal{O}(R^4)$ and $G$-Structure Classification of Underlying Non-Supersymmetric Geometries
• A Landscape of Field Theories
• Special Lagrangian cycles and Calabi-Yau transitions
• SU(3)-structures on submanifolds of a Spin(7)-manifold
• A method of deforming G-structures
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• Electric-Magnetic Dualities in Non-Abelian and Non-Commutative Gauge Theories
• Exceptional complex structures and the hypermultiplet moduli of 5d Minkowski compactifications of M-theory
• Partial Supergravity Breaking and the Effective Action of Consistent Truncations
• Topological G${}_2$ and Spin(7) strings at 1-loop from double complexes
• Type IIB Flows with N=1 Supersymmetry
• A note on N=(2,2) superfields in two dimensions
• Spinorial Geometry and Supergravity
• Phenomenology from the Landscape of String Vacua
• Supersymmetric Solutions with Fluxes from Algebraic Killing Spinors
• The moduli space of Type~A surfaces with torsion and non-singular symmetric Ricci tensor
• Generalised Calibrations in AdS backgrounds from Exceptional Sasaki-Einstein Structures
• $\mathcal{S}\mathcal{W}$-algebras and strings with torsion
• Generalized complex geometry of pure backgrounds in ten and eleven dimensions
• Calabi-Yau Connections with Torsion on Toric Bundles
• A Note on Fluxes in Six-Dimensional String Theory Backgrounds
• Linear Models for Flux Vacua
• On special geometry of the moduli space of string vacua with fluxes
• The heterotic G${}_2$ system with reducible characteristic holonomy
• Solvmanifolds with integrable and non-integrable G_2 structures
• Supergravity Fluxes and Generalised Geometry
• Choices of spinor inner products on M-theory backgrounds
• Comments on Dualities on Group Manifolds and Supersymmetry
• Moduli spaces of oriented Type A manifolds of dimension at least 3
• Flux Backgrounds and Exceptional Generalised Geometry
• A note on the Ricci scalar of six dimensional manifold with SU(2) structure
• Pin(d,d) covariance of pure spinor equations for supersymmetric vacua and Non-Abelian T-duality
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• Gauge/Gravity Theory with Running Dilaton and Running Axion
• Marginally deformed AdS${}_5$/CFT${}_4$ Backgrounds in Type IIB
• Chiral Zeromodes on Vortex-type Intersecting Heterotic Five-branes
• The quaternionic Heisenberg group and Heterotic String Solutions with non-constant dilaton in dimensions 7 and 5
• A class of Calabi-Yau threefolds as manifolds of SU(2) structure
• Some remarks on strong ${\mathrm{G}}_2$-structures with torsion
• Generalized Geometry and Partial Supersymmetry Breaking
• Global aspects of moduli spaces of 2d SCFTs
• Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media
• Moduli spaces of Type~$\mathcal{B}$ surfaces with torsion
• Dynamical Tadpoles and Weak Gravity Constraints
• Deformed Shatashvili-Vafa algebra for superstrings on AdS${}_3\times {\mathcal{M}}_7$
• $Spin(7)$ Compactifications and 1/4-BPS Vacua in Heterotic Supergravity
• Dynamics And Thermodynamics Of Blackholes And Naked Singularities II
• Supersymmetric solutions on SU(4)-structure deformed Stenzel space
• Families of solutions of the heterotic G${}_2$ system
• DWSB for heterotic flux compactifications
• Coclosed $G_2$-structures on $\text{SU}(2{)}^2$-invariant cohomogeneity one manifolds
• Anisotropic evolution of a D-brane
• Canonical Submersions in Nearly Kähler Geometry
• Stabilization of moduli by fluxes