Large AdS black holes from QFT Joonho Kim (KIAS) Based on 1810.12067 - PowerPoint PPT Presentation

Large AdS black holes from QFT Joonho Kim (KIAS) Based on 1810.12067 and 1811.08646 with 
 Sunjin Choi, Seok Kim, June Nahmgoong (SNU) Black Holes & Holography @ TSIMF, 7 Jan 2019

Black Hole • Classically, absolute zero temperature due to strong aSracTon force. • Proper thermodynamic system with finite temperature and entropy: A T = κ 2 π Hawking temperature Bekenstein-Hawking entropy S BH = 4 G N • Thermodynamic entropy has staTsTcal, microscopic interpretaTon. • Boltzmann interpretaTon of Bekenstein-Hawking entropy? A = log Ω micro 4 G N • Yes, for many black hole soluTons engineered in string theory. [Strominger, Vafa][Breckenridge, Myers, Peet, Vafa][Dijkgraaf, Verlinde, Verlinde] … • In this talk, I want to answer the quesTon for some AdS black holes. 
 [Benini, Hristov, Zaffaroni][Azzurli et al.][Hosseini, Hristov, Passias][Hosseini, Yaakov, Zaffaroni] …

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[Hawking, Page] ✓ r 2 dr 2 ◆ b 2 + 1 − w 2 M ds 2 = dt 2 + � + r 2 d Ω 2 � r 2 3 b 2 + 1 − w 2 M r 2 r 2 • Smooth and complete iff the t -coordinate has the periodicity: + = − b 2 β − 1 = r + 1 2 + b p b 2 + 4 w 2 M , r 2 t ∼ t + β with π b 2 + 2 π r + 2 • Two disTnct branches: T Small BH: thermodynamically unfavored (positive free energy & negative specific heat) Large BH: dominates at high temperature <E> • Hawking-Page transiTon • T < T HP : thermal graviton in the global AdS. • T > T HP : large AdS-Schwarzschild black hole. F ~ 1/G N ~ N 2 .