A supersymmetric holographic dual of a fractional topological insulator

Details A supersymmetric holographic dual of a fractional topological insulator A supersymmetric holographic dual of a fractional topological insulator

2012-04-10

arxiv.org/abs/1204.2217v1

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 5 figures

Scientific paper

We construct a supersymmetric generalization of the holographic dual of a fractional topological insulator found in \cite{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 $\kappa$-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 which preserves four of the thirty-two supersymmetries of the $AdS_5\times S^5$ background. Solutions of the BPS equations which correspond to a holographic fractional topological insulator are obtained numerically.

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