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Localized Black Holes in AdS$_3$: What Happens Below c/12 Stays Below c/12

Localized Black Holes in AdS$_3$: What Happens Below c/12 Stays Below c/12

We construct asymptotically AdS$_3 \times$S$^3 \times$T$^4$ black holes that are localized on the S$^3$ and co-exist with the BTZ black hole at small positive energies. These black holes dominate the microcanonical ensemble for $ E\leq \frac{c}{24}\left(5\sqrt{5}-11\right)$, suggesting they could represent the endpoint of the BTZ instability at low energies. Remarkably, …