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Abstract:
We study the maximally supersymmetric AdS backgrounds of matter-coupled
N=3 gauged supergravity in four dimensions. We find that to admit supersymmetric AdS vacua, the gauge group can only be of the form
G
0×
H⊂
SO(3,
n) with
G
0=
SO(3),
SO(3,1) or
SL(3,R) and
Ha compact group of dimension
n+3-dim(
G
0). We also show that these AdS vacua have no moduli, namely they correspond to critical points in field space.

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