We construct a supersymmetric generalization of the holographic dual of a fractional topological insulator found in HoyosBadajoz:2010ac. This is accomplished by introducing a nontrivial gauge field on the world volume of the probe D7 brane. The BPS equations are derived from the κ-symmetry transformation of the probe brane. The BPS equations are shown to reduce to two first oder nonlinear partial differential equations. Solutions of the BPS equations correspond to a probe brane configuration

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... ch preserves four of the thirty-two supersymmetries of the AdS_5× S^5 background. Solutions of the BPS equations which correspond to a holographic fractional topological insulator are obtained numerically.