Generalised G2-structures and type IIB superstrings

2004/12/31 by Claus Jeschek, Frederik Witt · 1 citation
Mathematics · Physics and Astronomy · #Compactification (mathematics) #Dimensional reduction #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Physics #Pure mathematics #Spinor #Superstring theory #Supersymmetry #Theoretical physics #Type (biology) #Vector bundle #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/03/053

published as JHEP0503:053,2005 · 14 pages, v2: Section 4 rewritten and references added, final version of the paper to appear in JHEP

openalex publication_date 2005/03/22 · arxiv created 2005/03/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The recent mathematical literature introduces generalised geometries which are defined by a reduction from the structure group SO(d,d) of the vector bundle T^d⊕ T^d* to a special subgroup. In this article we show that compactification of IIB superstring vacua on 7-manifolds with two covariantly constant spinors leads to a generalised G₂-structure associated with a reduction from SO(7,7) to G₂× G₂. We also consider compactifications on 6-manifolds where analogously we obtain a generalised SU(3)-structure associated with SU(3)× SU(3), and show how these relate to generalised G₂-structures.

Citations

• MIRROR SYMMETRY FOR TOPOLOGICAL SIGMA MODELS WITH GENERALIZED KÄHLER GEOMETRY
• Superstrings with intrinsic torsion
• Special metric structures and closed forms
• Topological M-theory as unification of form theories of gravity
• Topological sigma-models with H-flux and twisted generalized complex manifolds
• Generalized Complex Geometry

Cited by

• Gauged Supergravities