Abstract
We derive the Bekenstein-Hawking entropy for a class of BPS black holes in the massive type IIA supergravity background AdS4 × S 6 from a microscopic counting of supersymmetric ground states in a holographically dual field theory. The counting is performed by evaluating the topologically twisted index of three-dimensional \( \mathcal{N}=2 \) Chern-Simons-matter gauge theories in the large N limit. The I-extremization principle is shown to match the attractor mechanism for the near-horizon geometries constructed in the four-dimensional dyonic \( \mathcal{N}=2 \) gauged supergravity, that arises as a consistent truncation of massive type IIA supergravity on S 6. In particular, our results prove that the imaginary part of the three-dimensional partition functions plays a crucial rôle in holography.
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Hosseini, S.M., Hristov, K. & Passias, A. Holographic microstate counting for AdS4 black holes in massive IIA supergravity. J. High Energ. Phys. 2017, 190 (2017). https://doi.org/10.1007/JHEP10(2017)190
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DOI: https://doi.org/10.1007/JHEP10(2017)190