Lodged in the throat: Internal infinities and AdS/CFT
Don Marolf, Amos Yarom

TL;DR
This paper explores the AdS3/CFT2 correspondence for extreme BTZ black holes with internal infinities, proposing a product CFT description and analyzing the dual state in a simplified model.
Contribution
It introduces a novel product CFT framework for describing spacetimes with internal infinities in AdS3/CFT2 and analyzes the dual state of the extreme BTZ black hole.
Findings
The dual CFT state is a quotient of the vacuum state.
The dual state resides in a product CFT structure.
The approach provides insights into entanglement entropy in such geometries.
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.
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