Non-Kaehler String Backgrounds and their Five Torsion Classes

Details Non-Kaehler String Backgrounds and their Five Torsion Classes Non-Kaehler String Backgrounds and their Five Torsion Classes

2002-11-13

arxiv.org/abs/hep-th/0211118v3

Nucl.Phys.B652:5-34,2003

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, LaTeX; references added; one more reference added

Scientific paper

10.1016/S0550-3213(03)00049-X

We discuss the mathematical properties of six--dimensional non--K\"ahler 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.

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