TY - JOUR

T1 - IIB black hole horizons with five-form flux and KT geometry

AU - Gran, U.

AU - Gutowski, J.

AU - Papadopoulos, G.

PY - 2011

Y1 - 2011

N2 - 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 Kahler 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 H as d(omega boolean AND H) = partial derivative partial derivative omega(2) = 0, where omega 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 R-1,R-1 x S, where S is a holonomy Spin(7) manifold.

AB - 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 Kahler 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 H as d(omega boolean AND H) = partial derivative partial derivative omega(2) = 0, where omega 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 R-1,R-1 x S, where S is a holonomy Spin(7) manifold.

U2 - 10.1007/JHEP05(2011)050

DO - 10.1007/JHEP05(2011)050

M3 - Article

SN - 1029-8479

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

M1 - 050

ER -