The symmetries of five-dimensional minimal supergravity reduced to three dimensions

2007/10/31 by Gérard Clément, Gerard Clement · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1063/1.2907863

published as J.Math.Phys.49:042503,2008; Erratum-ibid.49:079901,2008 · 25 pages, typo corrected in Eq. (5.33)

openalex publication_date 2008/04/01 · arxiv created 2008/06/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The 14 Killing vectors of the target space for five-dimensional minimal supergravity reduced to three dimensions are explicitly constructed in terms of the original field variables. These vectors generate the Lie algebra of G2. We also construct a symmetrical 7×7 matrix representative of the coset G2(+2)∕((SL(2,R)×SL(2,R))) as a function of the same fields.

Citations

• Higher-dimensional Origin of D=3 Coset Symmetries
• Non-Supersymmetric Attractors in Symmetric Coset Spaces

Cited by

• Sigma-model approaches to exact solutions in higher-dimensional gravity and supergravity
• Generating technique forU(1)35D supergravity
• Bertotti-Robinson and soliton string solutions ofD=5minimal supergravity
• Generating Solutions via Sigma-Models

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