Non-Kaehler String Backgrounds and their Five Torsion Classes
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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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Cited by 2 Pith papers
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Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes
G2 torsion classes characterize the torsion and supersymmetry breaking in an M-theory compactification on a deformed K3 fibration over a three-manifold, leading to Type 0A and Type 0 heterotic theories upon dimensiona...
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Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes
Proposes G2 torsion classes as a characterization tool for torsion and supersymmetry breaking in M-theory on deformed K3 fibrations, leading to non-supersymmetric 4D theories via reductions to Type 0A and heterotic strings.
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