Localised $\mathrm{AdS}_3\times \mathrm{S}^3\times \mathbb{T}^4$ Black Holes

Oscar J. C. Dias; Jorge E. Santos

Paper

Localised $\mathrm{AdS}_3\times \mathrm{S}^3\times \mathbb{T}^4$ Black Holes

Abstract

We numerically construct asymptotically global

black holes in type IIB supergravity, with

symmetry, localised on the

and translationally invariant along the torus. These solutions, with horizons whose spatial cross sections have

topology, dominate the microcanonical ensemble at low energies. At higher energies, a first-order phase transition occurs to

black holes

possessing

symmetry and

horizon topology. By the AdS/CFT correspondence, this transition reflects the spontaneous breaking of the

R-symmetry of the D1-D5 CFT

. We also compute the expectation value of the scalar operator with lowest conformal dimension in the low-energy phase. Our

-localised black holes

together with the

-localised solutions of [1]

point to a rich landscape of novel black holes that may approach the

sparseness bootstrap condition, and shed light on how macroscopic entanglement in thermal phases encodes microscopic structure via internal directions.