New supergravity black string saddles reproduce the large-N topologically twisted index of 4d N=1 SCFTs on T^2 × Σ_g via the on-shell action I = -π i c/(12τ).
Holographic Uniformization and Black Hole Attractors
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We establish an attractor mechanism for the horizon metric of asymptotically locally AdS4 supersymmetric black holes. The K\"ahler moduli of the metric are not fixed in the asymptotic region, however supersymmetry dictates that the near horizon metric must be the constant curvature one. We show how this mechanism is realized in detail for four-dimensional N=2 gauged supergravity coupled to vector multiplets by focusing on the STU model. A similar analysis is performed for gauged supergravity theories in five, six, and seven dimensions where we establish the same mechanism by extending previous results on holographic uniformization.
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Macroscopic origin of the topologically twisted index on $T^2 \times \Sigma_{\mathfrak{g}}$
New supergravity black string saddles reproduce the large-N topologically twisted index of 4d N=1 SCFTs on T^2 × Σ_g via the on-shell action I = -π i c/(12τ).