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We study a generalization of the standard holographic p-wave superconductorfeaturing two interacting vector order parameters. Basing our argument on thesymmetry and linear response properties of the model, we propose it as aholographic effective theory describing a strongly coupled ferromagneticsuperconductor. We show that the two order parameters undergo concomitantcondensations as a manifestation of an intrinsically interlacedelectric/magnetic dynamics. Such intertwined dynamics is confirmed by the studyof the transport properties. We characterize thoroughly the equilibrium and thelinear response (i.e. optical conductivity and magnetic susceptibility) of themodel at hand by means of a probe approximation analysis. Some insight aboutthe effects of backreaction in the normal phase can be gained by analogy withthe s-wave unbalanced holographic superconductor.

Coexistence of two vector order parameters: a holographic model for ferromagnetic superconductivity