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

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.

arXiv comment26 pages, Contribution to the Proceedings of the Bonn workshop on "Special Geometric Structures in String Theory", a change in terminology and some other minor changes

References in corpus (4)

• Towards the large N limit of pure N=1 super Yang Mills
• Non-Abelian BPS Monopoles in N=4 Gauged Supergravity
• Supersymmetric String Solitons
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Cited by in corpus (8)

• Non-Kaehler String Backgrounds and their Five Torsion Classes
• Geometric Model for Complex Non-Kaehler Manifolds with SU(3) Structure
• Superconformal N=2, D=5 matter with and without actions
• G_2-structures with torsion from half-integrable nilmanifolds
• Index Theorems on Torsional Geometries
• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes
• N=2 and N=4 supergravities as compactifications from string theories in 10 dimensions
• Families of strong KT structures in six dimensions