Holographic Duals of Extremal Black Holes. 9 March 2010 @ Chung Yuan Christian University Chiang-Mei Chen Department of Physics, National Central University. Outline. Black Hole: introduction Holographic Principle Kerr/CFT Correspondence (Warped AdS3/CFT2)
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9 March 2010 @ Chung Yuan Christian University
Department of Physics, National Central University
nothing (including light) can escape from it.
I become a Black Hole
J. Bekenstein1973, S. Hawking 1974
in bulk (D dim.)
on boundary (D-1 dim.)
Could all of the information contained in your body actually be represented by your `shadow'?
The World is a Hologram?
Man ponders shadow,
or shadow ponders itself?
Symmetry group of AdSn+1: SO(n, 2)
Symmetry group of CFTn: SO(n, 2)
Is there a holographic dual CFT for extremal black hole?
IIB superstring theory
on AdS5 × S5
N=4 SYM Theory
E. Witten, Science 285 (1999) 512
Guica, Hartman, Song, Strominger: arXiv:0809.4266
(admitting Virasoro generators)
Castro, Larsen: arXiv:0908.1121
Hartman, Murata, Nishioka, Strominger: arXiv:0811.4393
Garousi, Ghodsi: arXiv:0902.4387
Chen, Sun, Zou: arXiv:0910.2076
f = 0 for extremal RN
Castro, Grumiller, Larsen, McNees: arXiv:0809.4264
AdS2 × S2
Radius of extra circle: 1 AdS radius