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.

arXiv comment25 pages, typo corrected in Eq. (5.33)

References in corpus (12)

• Black ring with two angular momenta
• Non-Supersymmetric Attractor Flow in Symmetric Spaces
• Higher-dimensional Origin of D=3 Coset Symmetries
• More on the Similarity between D=5 Simple Supergravity and M Theory
• $G_2$ generating technique for minimal D=5 supergravity and black rings
• Boundary Value Problem for Black Rings
• On Discrete U-duality in M-theory
• Stationary axisymmetric solutions of five dimensional gravity
• From Schwarzschild to Kerr: Generating spinning Einstein-maxwell fields from static fields
• Reduction without reduction: Adding KK-monopoles to five dimensional stationary axisymmetric solutions
• Hidden symmetries in minimal five-dimensional supergravity
• Non-Supersymmetric Attractors in Symmetric Coset Spaces

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• New coset matrix for D=6 self-dual supergravity