IIB backgrounds with fiveform flux
Abstract
We investigate all N=2 supersymmetric IIB supergravity backgrounds with nonvanishing fiveform flux. The Killing spinors have stability subgroups Spin(7)⋉R, SU(4)⋉R and G. In the SU(4)⋉R case, two different types of geometry arise depending on whether the Killing spinors are generic or pure. In both cases, the backgrounds admit a null Killing vector field which leaves invariant the SU(4)⋉R structure, and an almost complex structure in the directions transverse to the lightcone. In the generic case, the twist of the vector field is trivial but the almost complex structure is nonintegrable, while in the pure case the twist is nontrivial but the almost complex structure is integrable and associated with a relatively balanced Hermitian structure. The G backgrounds admit a timelike Killing vector field and two spacelike closed oneforms, and the seven directions transverse to these admit a cosymplectic G structure. The Spin(7)⋉R backgrounds are ppwaves propagating in an eightdimensional manifold with holonomy Spin(7). In addition we show that all the supersymmetric solutions of simple fivedimensional supergravity with a timelike Killing vector field, which include the AdS black holes, lift to SU(4)⋉R pure Killing spinor IIB backgrounds. We also show that the LLM solution is associated with a cosymplectic cohomogeneity one G manifold which has principal orbit S×S.
 Publication:

Nuclear Physics B
 Pub Date:
 July 2008
 DOI:
 10.1016/j.nuclphysb.2008.01.015
 arXiv:
 arXiv:0705.2208
 Bibcode:
 2008NuPhB.798...36G
 Keywords:

 04.65.+e;
 11.30.Pb;
 12.60.Jv;
 Supergravity;
 Supersymmetry;
 Supersymmetric models;
 High Energy Physics  Theory
 EPrint:
 39 pages, typos corrected and references amended