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Journal of Mathematical Physics, 49 (2008) 042503
The symmetries of five-dimensional minimal supergravity reduced to three dimensions
Gérard Clément ( ) 1
(2008)

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.
1:  Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH)
CNRS : UMR5108 – Université de Savoie
Mathematics/Mathematical Physics

Physics/Mathematical Physics

Physics/General Relativity and Quantum Cosmology

Physics/High Energy Physics - Theory
Fulltext link: 
http://fr.arXiv.org/abs/0710.1192