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On the BCFT, at lower Temperatures, the AdS condition is favored while at higher ones, BTZ conditions are. But, I do not understand how the conditions for either one change the gravitational theory. Or rather, how the partition functions and boundary conditions of the theory differ. Any color you could provide would really be helpful!

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  • $\begingroup$ The BTZ black hole is asymptotically AdS3 (and also locally AdS3, trivially). Do you know the metrics for the two spacetimes? $\endgroup$ Jul 20 at 16:54
  • $\begingroup$ Ok, thank you for that. This helps me a lot. And yes, I do know both the BTZ metric and Ads. Asymptotic Ads is the Poincare Metric of Ads as Z approaches 0. I'll read more on Asymptotic Ads and a proof that the BTZ condition is Asymptotically Ads. $\endgroup$ Jul 20 at 17:28

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