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

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

2007-10-05

arxiv.org/abs/0710.1192v3

J.Math.Phys.49:042503,2008; Erratum-ibid.49:079901,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, typo corrected in Eq. (5.33)

Scientific paper

10.1063/1.2907863 10.1063/1.2963

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 $7\times7$ matrix representative of the coset
$G_{2(+2)}/((SL(2,R)\times SL(2,R))$ as a function of the same fields.

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