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So I've been reading through Maldacena and Susskind's paper on ER = EPR, and I ran into a question. They start by analyzing the AdS eternal black hole,

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which has a thermofield double description $$|\psi\rangle\sim \sum_n e^{-\beta E_n/2}|n,n\rangle.$$ If we think of this as two black holes living in disjoint spaces with the same time, we can clearly see that that this has an Einstein-Rosen (ER) bridge by looking at the Penrose diagram, and there is clearly entanglement from looking at the state $|\psi\rangle$. However, after that, they analyze the asymptotically flat two-sided black hole

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I can easily see that this has an ER bridge from looking at the Penrose diagram, but they further claim, "as before the black holes are maximally entangled but not interacting." I don't get where this comes from. How do I see that these black holes are entangled?

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  • $\begingroup$ This is derived in section 4.8 of arXiv:1409.1231, using the same technique that is used in section 3.3 to study the Rindler case. $\endgroup$
    – Chiral Anomaly
    Commented May 22, 2021 at 16:16

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