Published July 21, 2008 | Version v1
Journal article

IIB backgrounds with five-form flux

  • 1. Fundamental Physics, Chalmers University of Technology, SE-412 96 Goeteborg (Sweden)
  • 2. DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce road, Cambridge, CB3 0WA (United Kingdom)
  • 3. Department of Mathematics, King's College London, Strand, London WC2R 2LS (United Kingdom)

Description

We investigate all N=2 supersymmetric IIB supergravity backgrounds with non-vanishing five-form flux. The Killing spinors have stability subgroups Spin(7) x R8, SU(4) x R8 and G2. In the SU(4) x R8 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) x R8 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 non-integrable, while in the pure case the twist is non-trivial but the almost complex structure is integrable and associated with a relatively balanced Hermitian structure. The G2 backgrounds admit a time-like Killing vector field and two spacelike closed one-forms, and the seven directions transverse to these admit a co-symplectic G2 structure. The Spin(7) x R8 backgrounds are pp-waves propagating in an eight-dimensional manifold with holonomy Spin(7). In addition we show that all the supersymmetric solutions of simple five-dimensional supergravity with a time-like Killing vector field, which include the AdS5 black holes, lift to SU(4) x R8 pure Killing spinor IIB backgrounds. We also show that the LLM solution is associated with a co-symplectic co-homogeneity one G2 manifold which has principal orbit S3xS3

Availability note (English)

Available from http://dx.doi.org/10.1016/j.nuclphysb.2008.01.015

Additional details

Identifiers

DOI
10.1016/j.nuclphysb.2008.01.015;
arXiv
arXiv:0705.2208v2;
PII
S0550-3213(08)00066-7;

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
798
Journal Issue
1-2
Journal Page Range
p. 36-71
ISSN
0550-3213
CODEN
NUPBBO

Optional Information

Copyright
Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.