Non-Kähler string backgrounds and their five torsion classes

2002/11/22 by G. L. Cardoso, Gabriel Lopes Cardoso, G. Curio +8 · 14 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th #math.DG

paper · pdf · doi:10.1016/s0550-3213(03)00049-x

published as Nucl.Phys.B652:5-34,2003 · 33 pages, LaTeX; references added; one more reference added

arxiv created 2002/11/22 · openalex publication_date 2003/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We discuss the mathematical properties of six--dimensional non--Kähler manifolds which occur in the context of \cal N=1 supersymmetric heterotic and type IIA string compactifications with non--vanishing background H--field. The intrinsic torsion of the associated SU(3) structures falls into five different classes. For heterotic compactifications we present an explicit dictionary between the supersymmetry conditions and these five torsion classes. We show that the non--Ricci flat Iwasawa manifold solves the supersymmetry conditions with non--zero H--field, so that it is a consistent heterotic supersymmetric groundstate.

Citations

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• Elliptic Calabi-Yau Threefolds withZ3×Z3Wilson Lines
• Flux vacua attractors and generalized compactifications
• Moduli stabilization in meta-stable heterotic supergravity vacua
• Supersymmetric AdS(4) compactifications of IIA supergravity
• Heterotic moduli stabilization with fractional Chern-Simons invariants
• Anomaly, fluxes and (2,0) heterotic-string compactifications
• Uplifting the Iwasawa
• Type IIA on a compact Calabi‐Yau and D = 11 supergravity uplift of its orientifold
• On T-folds, G-structures and supersymmetry
• An open string landscape
• Script N = 1,2 supersymmetric vacua of IIA supergravity and SU(2) structures