Localised $\mathrm{AdS}_3\times \mathrm{S}^3\times \mathbb{T}^4$ Black Holes
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915670263857152 |
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| author | Dias, Oscar J. C. Santos, Jorge E. |
| author_facet | Dias, Oscar J. C. Santos, Jorge E. |
| contents | We numerically construct asymptotically global $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ black holes in type IIB supergravity, with $\mathbb{R}_t \times SO(2) \times SO(3) \times U(1)^4$ symmetry, localised on the $\mathrm{S}^3$ and translationally invariant along the torus. These solutions, with horizons whose spatial cross sections have $\mathrm{S}^4 \times \mathbb{T}^4$ topology, dominate the microcanonical ensemble at low energies. At higher energies, a first-order phase transition occurs to $\mathrm{BTZ} \times \mathrm{S}^3 \times \mathbb{T}^4$ black holes $-$ possessing $\mathbb{R}_t \times SO(2) \times SO(4) \times U(1)^4$ symmetry and $\mathrm{S}^1 \times \mathrm{S}^3 \times \mathbb{T}^4$ horizon topology. By the AdS/CFT correspondence, this transition reflects the spontaneous breaking of the $SO(4)$ R-symmetry of the D1-D5 CFT$_2$ to $SO(3)$. We also compute the expectation value of the scalar operator with lowest conformal dimension in the low-energy phase. Our $SO(3)$-localised black holes $-$ together with the $U(1)^2$-localised solutions of [1] $-$ point to a rich landscape of novel black holes that may approach the $\mathrm{CFT}_2$ sparseness bootstrap condition, and shed light on how macroscopic entanglement in thermal phases encodes microscopic structure via internal directions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16722 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Localised $\mathrm{AdS}_3\times \mathrm{S}^3\times \mathbb{T}^4$ Black Holes Dias, Oscar J. C. Santos, Jorge E. High Energy Physics - Theory General Relativity and Quantum Cosmology We numerically construct asymptotically global $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ black holes in type IIB supergravity, with $\mathbb{R}_t \times SO(2) \times SO(3) \times U(1)^4$ symmetry, localised on the $\mathrm{S}^3$ and translationally invariant along the torus. These solutions, with horizons whose spatial cross sections have $\mathrm{S}^4 \times \mathbb{T}^4$ topology, dominate the microcanonical ensemble at low energies. At higher energies, a first-order phase transition occurs to $\mathrm{BTZ} \times \mathrm{S}^3 \times \mathbb{T}^4$ black holes $-$ possessing $\mathbb{R}_t \times SO(2) \times SO(4) \times U(1)^4$ symmetry and $\mathrm{S}^1 \times \mathrm{S}^3 \times \mathbb{T}^4$ horizon topology. By the AdS/CFT correspondence, this transition reflects the spontaneous breaking of the $SO(4)$ R-symmetry of the D1-D5 CFT$_2$ to $SO(3)$. We also compute the expectation value of the scalar operator with lowest conformal dimension in the low-energy phase. Our $SO(3)$-localised black holes $-$ together with the $U(1)^2$-localised solutions of [1] $-$ point to a rich landscape of novel black holes that may approach the $\mathrm{CFT}_2$ sparseness bootstrap condition, and shed light on how macroscopic entanglement in thermal phases encodes microscopic structure via internal directions. |
| title | Localised $\mathrm{AdS}_3\times \mathrm{S}^3\times \mathbb{T}^4$ Black Holes |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.16722 |