Localised AdS3 × S3 × T4 black holes
Localised AdS3 × S3 × T4 black holes
We numerically construct asymptotically global AdS3×S3×T4 black holes in type IIB supergravity, with Rt×SO(2)×SO(3)×U(1)4symmetry, localised on the S3 and translationally invariant along the torus. These solutions, with horizons whose spatial cross sections have S4×T4 topology, dominate the microcanonical ensemble at low energies. At higher energies, a first-order phase transition occurs toBTZ×S3×T4 black holes — possessing Rt×SO(2)×SO(4)×U(1)4symmetry and S1×S3×T4 horizon topology. By the AdS/CFT correspondence, this transition reflects the spontaneous breaking of theSO(4) R-symmetry of the D1-D5 CFT2 to SO(3). We also compute the expectation value of thescalar operator with lowest conformal dimension in the low-energy phase. Our SO(3)-localisedblack holes — together with the U(1)2-localised solutions of [1] — point to a rich landscape of novelblack holes that may approach the CFT2 ‘sparseness bootstrap condition’, and shed light on howmacroscopic entanglement in thermal phases encodes microscopic structure via internal directions.
hep-th, gr-qc
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
22 August 2025
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
[Unknown type: UNSPECIFIED]
Abstract
We numerically construct asymptotically global AdS3×S3×T4 black holes in type IIB supergravity, with Rt×SO(2)×SO(3)×U(1)4symmetry, localised on the S3 and translationally invariant along the torus. These solutions, with horizons whose spatial cross sections have S4×T4 topology, dominate the microcanonical ensemble at low energies. At higher energies, a first-order phase transition occurs toBTZ×S3×T4 black holes — possessing Rt×SO(2)×SO(4)×U(1)4symmetry and S1×S3×T4 horizon topology. By the AdS/CFT correspondence, this transition reflects the spontaneous breaking of theSO(4) R-symmetry of the D1-D5 CFT2 to SO(3). We also compute the expectation value of thescalar operator with lowest conformal dimension in the low-energy phase. Our SO(3)-localisedblack holes — together with the U(1)2-localised solutions of [1] — point to a rich landscape of novelblack holes that may approach the CFT2 ‘sparseness bootstrap condition’, and shed light on howmacroscopic entanglement in thermal phases encodes microscopic structure via internal directions.
Text
2508.16722v1
- Author's Original
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Published date: 22 August 2025
Additional Information:
14 pages, 7 figures
Keywords:
hep-th, gr-qc
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Local EPrints ID: 506867
URI: http://eprints.soton.ac.uk/id/eprint/506867
PURE UUID: bfcd4016-bc8e-4035-b39f-e1c8ef4a3505
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Date deposited: 19 Nov 2025 17:41
Last modified: 20 Nov 2025 02:45
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Author:
Jorge E. Santos
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