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arXiv · hep-th/9710072

Twistor Spaces for QKT Manifolds

P. S. Howe·A. Opfermann·G. Papadopoulos
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Abstract

We find that the target space of two-dimensional (4,0) supersymmetric sigma models with torsion coupled to (4,0) supergravity is a QKT manifold, that is, a quaternionic Kähler manifold with torsion. We give four examples of geodesically complete QKT manifolds one of which is a generalisation of the LeBrun geometry. We then construct the twistor space associated with a QKT manifold and show that under certain conditions it is a Kähler manifold with a complex contact structure. We also show that, for every 4k-dimensional QKT manifold, there is an associated 4(k+1)-dimensional hyper-Kähler one.

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P. S. Howe, A. Opfermann, G. Papadopoulos. 1997-10-08. Twistor Spaces for QKT Manifolds. https://doi.org/10.1007/s002200050469

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