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

Clement, Gerard

doi:10.1063/1.2963308

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

Gerard Clement
(
- Annecy, LAPTH
)

Oct, 2007

24 pages

Published in:

J.Math.Phys. 49 (2008) 042503,
J.Math.Phys. 49 (2008) 079901 (erratum)

e-Print:

0710.1192 [gr-qc]

DOI:

Report number:

LAPTH-1209-07

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Abstract: (arXiv)

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.

99.10.Cd
supergravity
vector: Killing
supergravity: minimal
algebra: Lie
coset space
commutation relations
dimensional reduction
dimension: 5
dimension: 3

References(14)

Figures(0)

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