AdS/CFT correspondence in operator formalism

被引：0
作者：
Seiji Terashima
机构：
[1] Kyoto University,Yukawa Institute for Theoretical Physics
来源：
Journal of High Energy Physics | / 2018卷
关键词：
AdS-CFT Correspondence; 1/N Expansion; Gauge-gravity correspondence;
D O I：
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摘要：
In this paper we study the AdS/CFT correspondence in the operator formalism without assuming the GKPW relation. We explicitly show that the low energy spectrum of the large N limit of CFT, which is realized by a strong coupling gauge theory, is identical to the spectrum of the free gravitational theory in the global AdS spacetime under some assumptions which are expected to be valid. Thus, two theories are equivalent for the low energy region under the assumptions. Using this equivalence, the bulk local field is constructed and the GKPW relation is derived.
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共 95 条
[1]  
Gubser SS(1998)Gauge theory correlators from noncritical string theory Phys. Lett. B 428 105-undefined
[2]  
Klebanov IR(1998)Anti-de Sitter space and holography Adv. Theor. Math. Phys. 2 253-undefined
[3]  
Polyakov AM(1999)Bulk versus boundary dynamics in Anti-de Sitter space-time Phys. Rev. D 59 079-undefined
[4]  
Witten E(2009)Holography from conformal field theory JHEP 10 054-undefined
[5]  
Balasubramanian V(2013)AdS field theory from conformal field theory JHEP 02 171602-undefined
[6]  
Kraus P(2015)Continuous multiscale entanglement renormalization ansatz as holographic surface-state correspondence Phys. Rev. Lett. 115 114-undefined
[7]  
Lawrence AE(2015)Bulk locality and boundary creating operators JHEP 10 106-undefined
[8]  
Heemskerk I(2000)Local bulk operators in AdS/CFT: a boundary view of horizons and locality Phys. Rev. D 62 106009-undefined
[9]  
Penedones J(2006)Holographic representation of local bulk operators Phys. Rev. D 73 145-undefined
[10]  
Polchinski J(2006)Emergent spacetime and holographic CFTs Phys. Rev. D 74 059-undefined
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