Open AccessLodged in the throat: internal infinities and AdS/CFT
Author(s) -
Donald Marolf,
Amos Yarom
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/01/141
Subject(s) - btz black hole , physics , black hole (networking) , mathematical physics , context (archaeology) , infinity , anti de sitter space , theoretical physics , entropy (arrow of time) , extremal black hole , quantum mechanics , black brane , mathematics , mathematical analysis , computer network , paleontology , routing protocol , routing (electronic design automation) , computer science , biology , link state routing protocol
In the context of AdS3/CFT2, we address spacetimes with a certain sort ofinternal infinity as typified by the extreme BTZ black hole. The internalinfinity is a null circle lying at the end of the black hole's infinite throat.We argue that such spacetimes may be described by a product CFT of the formCFT-L * CFT-R, where CFT-R is associated with the asymptotically AdS boundarywhile CFT-L is associated with the null circle. Our particular calculationsanalyze the CFT dual of the extreme BTZ black hole in a linear toy model ofAdS3/CFT2. Since the BTZ black hole is a quotient of AdS3, the dual CFT stateis a corresponding quotient of the CFT vacuum state. This state turns out tolive in the aforementioned product CFT. We discuss this result in the contextof general issues of AdS/CFT duality and entanglement entropy.Comment: 11 pages, 2 figures; v2 - some typos corrected, minor revision
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