Black hole entropy in massive Type IIA

Abstract

We study the entropy of static dyonic BPS black holes in AdS${}_4$ in 4d $\mathcal{N}=2$ gauged supergravities with vector and hyper multiplets, and how the entropy can be reproduced with a microscopic counting of states in the AdS/CFT dual field theory. We focus on the particular example of BPS black holes in AdS${}_4\times S^6$ in massive Type IIA, whose dual three-dimensional boundary description is known and simple. To count the states in field theory we employ a supersymmetric topologically twisted index, which can be computed exactly with localization techniques. We find perfect match at leading order.

26 pages, 1 figure; v2: typos corrected, refs added; v3: published version