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

G. Papadopoulos

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arXiv · hep-th/0201111

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

G. Papadopoulos

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Abstract

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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G. Papadopoulos. 2002-01-22. KT and HKT Geometries in Strings and in Black Hole Moduli Spaces. https://arxiv.org/abs/hep-th/0201111

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