T-duality and HKT manifolds

Details T-duality and HKT manifolds T-duality and HKT manifolds

1997-09-05

arxiv.org/abs/hep-th/9709048v3

Phys.Lett. B416 (1998) 101-107

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex2e, acknowledgement added, version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(97)01290-2

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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