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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 G0×H⊂ SO(3,n) with G0=SO(3), SO(3,1) or SL(3,R) and H a compact group of dimension n+3-dim(G0). We also show that these AdS vacua have no moduli, namely they correspond to critical points in field space.
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