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IIB black hole horizons with five-form flux and KT geometry

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Abstract

We investigate the near horizon geometry of IIB supergravity black holes with non-vanishing 5-form flux preserving at least two supersymmetries. We demonstrate that there are three classes of solutions distinguished by the choice of Killing spinors. We find that the spatial horizon sections of the class of solutions with an SU(4) invariant pure Killing spinor are hermitian manifolds and admit a hidden Kähler with torsion (KT) geometry compatible with the SU(4) structure. Moreover the Bianchi identity of the 5-form, which also implies the field equations, can be expressed in terms of the torsion \( d\left( {\omega \wedge H} \right) = \partial \bar{\partial }{\omega^2} = 0 \), where ω is a Hermitian form. We give several examples of near horizon geometries which include group manifolds, group fibrations over KT manifolds and uplifted geometries of lower dimensional black holes. Furthermore, we show that the class of solutions associated with a Spin(7) invariant spinor is locally a product \( {\mathbb{R}^{1,1}} \times \mathcal{S} \), where \( \mathcal{S} \) is a holonomy Spin(7) manifold.

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Authors and Affiliations

  1. Fundamental Physics, Chalmers University of Technology, SE-412 96, Göteborg, Sweden

    U. Gran

  2. Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, U.K.

    J. Gutowski & G. Papadopoulos

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  1. U. Gran
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  2. J. Gutowski
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  3. G. Papadopoulos
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Correspondence to J. Gutowski.

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ArXiv ePrint: 1101.1247

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Gran, U., Gutowski, J. & Papadopoulos, G. IIB black hole horizons with five-form flux and KT geometry. J. High Energ. Phys. 2011, 50 (2011). https://doi.org/10.1007/JHEP05(2011)050

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