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arXiv · hep-th/9709048

T-duality and HKT manifolds

A. Opfermann
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Abstract

We examine conformal rescaling and T-duality in the context of four-dimensional HKT geometries. The closure of the torsion forces the conformal factor to satisfy a modified harmonic equation. Because of this equation the conformal factors form non-commutative groups acting on the HKT geometries. Using conformal rescalings and T-duality transformations we generate from flat space new families of HKT geometries with tri-holomorphic Killing vectors. We also find ultraviolet-finite (4,0) supersymmetric sigma models which are not conformally invariant.

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A. Opfermann. 1997-10-15. T-duality and HKT manifolds. https://doi.org/10.1016/s0370-2693(97)01290-2

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