Black hole microstate counting in Type IIB from 5d SCFTs

Journal article

We use recently established AdS$_6$/CFT$_5$ dualities to count the microstates of magnetically charged AdS$_6 \times S^2 \times \Sigma$ black holes in Type IIB. The near-horizon limit is described by solutions with AdS$_2 \times \Sigma_{\mathfrak{g}_1} \times \Sigma_{\mathfrak{g}_2} \times S^2 \times \Sigma$ geometry, where $\Sigma_{\mathfrak{g}_i}$ are Riemann surfaces of constant curvature and $\Sigma$ is a further Riemann surface over which the geometry is warped. Our results show that the topologically twisted indices of the proposed dual superconformal field theories precisely reproduce the Bekenstein-Hawking entropy of this class of black holes. This provides further support for a prescription to compute five-dimensional topologically twisted indices put forth recently, and for the proposed dualities. We confirm the $N^4$ scaling found in the sphere partition functions and extend previous matches of sphere partition functions to AdS$_6$ solutions with monodromy.

Authors: Fluder, M; Hosseini, SM; Uhlemann, CF

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Springer
• Journal: Journal of High Energy Physics
• Volume: 2019
• Issue: 5
• Pages: 134
• Publication date: 2019-05-01
• DOI: 10.1007/jhep05(2019)134
• EISSN: 1029-8479
• ISSN: 1126-6708
• Language: English
• Keywords: Constant curvature; Anti-de Sitter space; Black hole (networking); Ministate; Sigma; Monodromy