KT and HKT Geometries in Strings and in Black Hole Moduli Spaces

Details KT and HKT Geometries in Strings and in Black Hole Moduli Spaces KT and HKT Geometries in Strings and in Black Hole Moduli Spaces

2002-01-15

arxiv.org/abs/hep-th/0201111v2

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, Contribution to the Proceedings of the Bonn workshop on "Special Geometric Structures in String Theory", a change in

Scientific paper

Some selected applications of KT and HKT geometries in string theory, supergravity, black hole moduli spaces and hermitian geometry are reviewed. It is shown that the moduli spaces of a large class of five-dimensional supersymmetric black holes are HKT spaces. In hermitian geometry, it is shown that a compact, conformally balanced, strong KT manifold whose associated KT connection has holonomy contained in SU(n) is Calabi-Yau. The implication of this result in the context of some string compactifications is explained.

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