IIB black hole horizons with five-form flux and KT geometry
Artikel i vetenskaplig tidskrift, 2011

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.

d=10 supergravity

supersymmetric sigma-models

manifolds

n=2

spinorial geometry

Black Holes in String Theory

Supergravity Models

torsion

uniqueness

theorem

spaces

string backgrounds

Författare

Ulf Gran

Chalmers, Teknisk fysik, Matematisk fysik

J. Gutowski

King's College London

G. Papadopoulos

King's College London

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

5

Ämneskategorier

Fysik

DOI

10.1007/jhep05(2011)050