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

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 $G_2$. We also construct a symmetrical $7\times 7$ matrix representative of the coset $G_{2(+2)}/((SL(2,R)\times SL(2,R))$ as a function of the same fields.

25 pages, typo corrected in Eq. (5.33)

References in corpus (6)

• Black ring with two angular momenta
• Non-Supersymmetric Attractor Flow in Symmetric Spaces
• Boundary Value Problem for Black Rings
• Stationary axisymmetric solutions of five dimensional gravity
• Reduction without reduction: Adding KK-monopoles to five dimensional stationary axisymmetric solutions
• Non-Supersymmetric Attractors in Symmetric Coset Spaces

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• Thin-shell wormholes in Brans-Dicke gravity
• On squashed black holes in Godel universes
• Generating technique for $U(1{)}^{3}5D$ supergravity
• Generating solutions via sigma-models
• Non-Supersymmetric Attractors in Symmetric Coset Spaces
• Bertotti-Robinson and soliton string solutions of $D=5$ minimal supergravity
• Sigma-model approaches to exact solutions in higher-dimensional gravity and supergravity