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

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arxiv hep-th/0201111 v2 pith:6GMDXVAC submitted 2002-01-15 hep-th math.DG

classification hep-thmath.DG
keywords spacesblackmoduligeometriesgeometryhermitianholesome
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stringy Corrections to Heterotic SU(3)-Geometry

    hep-th 2025-07 accept novelty 6.0 of 10

    At second order in alpha', heterotic SU(3) compactifications with a smooth large-radius limit obey the same complex geometric equations as Strominger's first-order system, and the Hull connection is not an instanton.

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