Lodged in the throat: Internal infinities and AdS/CFT
Abstract
In the context of AdS3/CFT2, we address spacetimes with a certain sort of internal infinity as typified by the extreme BTZ black hole. The internal infinity 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 form CFT-L * CFT-R, where CFT-R is associated with the asymptotically AdS boundary while CFT-L is associated with the null circle. Our particular calculations analyze the CFT dual of the extreme BTZ black hole in a linear toy model of AdS3/CFT2. Since the BTZ black hole is a quotient of AdS3, the dual CFT state is a corresponding quotient of the CFT vacuum state. This state turns out to live in the aforementioned product CFT. We discuss this result in the context of general issues of AdS/CFT duality and entanglement entropy.
Keywords
Cite
@article{arxiv.hep-th/0511225,
title = {Lodged in the throat: Internal infinities and AdS/CFT},
author = {Don Marolf and Amos Yarom},
journal= {arXiv preprint arXiv:hep-th/0511225},
year = {2009}
}
Comments
11 pages, 2 figures; v2 - some typos corrected, minor revisions