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

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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

  1. 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

  2. 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 .

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