Microstate Counting of Asymptotically AdS (Near-)BPS Black Holes and Hawking Radiation
Abstract: The problems of counting the microstates of asymptotically flat and AdS_3 BPS black holes were solved in 90s. Despite the great success of the AdS/CFT correspondence, the same problem for asymptotically AdS_5 BPS black holes had remained open for many years. Recently, several different groups resolved this problem by deriving the entropy function of 1/16-BPS AdS_5 black holes from N=4 SYM using supersymmetric localization or superconformal index. Inspired by this work, we can also count the microstates for both BPS and near-BPS asymptotically AdS black holes in various dimensions. More interestingly, we obtain a microscopic derivation of the Hawking radiation for near-extremal asymptotically AdS_5 black holes, generalizing the well-known work by Callan and Maldacena. In this talk, I will briefly review the historical developments, and discuss some aspects of these new approaches on black hole microstate counting. This talk is based on the papers 1907.02505, 1909.07943 and some work in progress.
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