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We investigate the existence of supersymmetric static dyonic black holes withspherical horizon in the context of N= 2 U(1) gauged supergravity in fourdimensions. We analyze the conditions for their existence and provide thegeneral first-order flow equations driving the scalar fields and the metricwarp factors from the asymptotic AdS4 geometry to the horizon. We work in ageneral duality-symmetric setup, which allows to describe both electric andmagnetic gaugings. We also discuss the attractor mechanism and the issue ofmoduli (de-)stabilization.

Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity