T-duality and HKT manifolds

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.

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

References in corpus (2)

• HKT and OKT Geometries on Soliton Black Hole Moduli Spaces
• D-brane Bound States and the Generalised ADHM Construction

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