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Lodged in the throat: Internal infinities and AdS/CFT

Don Marolf·Amos Yarom
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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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Don Marolf, Amos Yarom. 2006-01-27. Lodged in the throat: Internal infinities and AdS/CFT. https://doi.org/10.1088/1126-6708%2F2006%2F01%2F141

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