Five Dimensional Minimal Supergravities and Four Dimensional Complex Geometries

Journal Article · Fri May 01 00:00:00 EDT 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3141231· OSTI ID:21304810

Grover, Jai ^[1]; Gutowski, Jan B ^[2]; Herdeiro, Carlos A. R. ^[3]; Sabra, Wafic ^[4]

---

1. DAMTP, CMS, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA (United Kingdom)
2. Department of Mathematics, King's College London, Strand, London WC2R 2LS (United Kingdom)
3. DF-FCUP e CFP, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto (Portugal)
4. Centre for Advanced Mathematical Sciences and Physics Department, American University of Beirut (Lebanon)

We discuss the relation between solutions admitting Killing spinors of minimal supergravities in five dimensions and four dimensional complex geometries. In the ungauged case (vanishing cosmological constant {lambda} 0) the solutions are determined in terms of a hyper-Kaehler base space; in the gauged case ({lambda}<0) the complex geometry is Kaehler; in the de Sitter case ({lambda}>0) the complex geometry is hyper-Kaehler with torsion (HKT). In the latter case some details of the derivation are given. The method for constructing explicit solutions is discussed in each case.

• OSTI ID: 21304810
• Journal Information: AIP Conference Proceedings, Vol. 1122, Issue 1; Conference: Spanish relativity meeting 2008, Salamanca (Spain), 15-19 Sep 2008; Other Information: DOI: 10.1063/1.3141231; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COSMOLOGICAL CONSTANT
DE SITTER GROUP
DE SITTER SPACE
FOUR-DIMENSIONAL CALCULATIONS
GENERAL RELATIVITY THEORY
GEOMETRY
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SPINORS
SUPERGRAVITY
SUPERSYMMETRY
TORSION