Superstrings with intrinsic torsion

2003/02/28 by Jerome P. Gauntlett, Dario Martelli, Daniel Waldram · 21 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Fibered knot #Heterotic string theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Superstring theory #Supersymmetry #Theoretical physics #Torsion (gastropod) #Type (biology) #hep-th #math.DG

paper · pdf · doi:10.1103/physrevd.69.086002

published as Phys.Rev. D69 (2004) 086002 · 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

arxiv created 2003/06/11 · openalex publication_date 2004/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze the necessary and sufficient conditions for the preservation of supersymmetry for bosonic geometries of the form R^1,9\ensuremath-d\ifmmode×\else\texttimes\fiM_d, in the common Neveu-Schwarz--Neveu-Schwarz (NS-NS) sector of type II string theory and also type I or 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. Generalized calibrations naturally appear since the geometries can always arise as solutions describing NS or type I or heterotic fivebranes wrapping calibrated cycles. Some new solutions are presented. In particular we find d=6 examples with a fibered structure which preserve N=1,2,3 supersymmetry in type II and include compact type I or heterotic geometries.

Citations

• Various Wrapped Branes from Gauged Supergravities
• Brane Solitons and Hypercomplex Structures
• Resolution of overlapping branes
• Off-shell formulation of N = 2 non-linear σ-models
• A no-go theorem for string warped compactifications
• Non-Kähler string backgrounds and their five torsion classes
• Seven-dimensional octonionic Yang-Mills instanton and its extension to an heterotic string soliton
• Fivebranes wrapped on associative three-cycles
• Towards the LargeNLimit of PureN<mml:mspace/>=<mml:mspace/>1Super Yang-Mills Theory
• Geometry of Hyper-Kähler Connections with Torsion

Cited by

• Supersymmetric AdS 5 solutions of type IIB supergravity
• Stable D-branes, calibrations and generalized Calabi-Yau geometry
• A heterotic flux background and calibrated five-branes
• Spin(7) compactifications and 1/4-BPS vacua in heterotic supergravity
• The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory
• Topological M-theory as unification of form theories of gravity
• Type IIB Killing spinors and calibrations
• DWSB in heterotic flux compactifications
• The spinorial geometry of supersymmetric heterotic string backgrounds
• Flux Backgrounds and Exceptional Generalised Geometry
• Curvature decomposition of G2-manifolds
• Geometric transitions on non‐Kähler manifolds
• Heterotic flux compactifications and their moduli
• Generalised G2-structures and type IIB superstrings
• Generalized complex geometry of pure backgrounds in 10 and 11 dimensions
• Supergravity Fluxes and Generalised Geometry
• SU(3)-structures on submanifolds of aSpin(7)-manifold
• Twisted tori and fluxes: A no go theorem for Lie groups of weak G2 holonomy
• Chiral generations on intersecting 5-branes in heterotic string theory
• Heterotic resolved conifolds with torsion, from supergravity to CFT
• Heterotic supersymmetric backgrounds with compact holonomy revisited