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PreprintCC BY 4.0arXiv

Go with the flow(s): radial de Sitter holography and T2 (+ Λ2)

  • Matthew J. Blacker
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Abstract

What can we learn about a putative dual to de Sitter spacetime from the bulk? Conversely, what can a candidate dual theory teach us about the bulk? In this work, we construct midisuperspace Wheeler-DeWitt states that are localised on the Schwarzschild-de Sitter spacetime. Using these states, we construct a slice-independent worldtube holographic framework in the static patch. We then construct a dictionary between this worldtube proposal and both the T2 and T2 + Λ2 frameworks for cut-off holography. In doing so, we provide a bulk realisation of T2+ Λ2 for dS4 black holes. We identify the average Hamiltonian of our worldtube proposal as the seed energy of the T2 (+ Λ2) theories. To recover the T2 (+ Λ2) energy spectrum as the average Hamiltonian of a worldtube theory, one must make the bulk framework slice-dependent, and we discuss the consequences of this trade-off.

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Cite

BibTeXRIS
BibTeX
@misc{blacker2026with,
  title = {{Go with the flow(s): radial de Sitter holography and $T^2 (+ Λ_2)$}},
  author = {Matthew J. Blacker},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37776},
  eprint = {2610.37776},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37776},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Go with the flow(s): radial de Sitter holography and T^2 (+ Λ_2)
AU  - Matthew J. Blacker
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37776
UR  - https://arxiv.org/abs/2610.37776
AB  - What can we learn about a putative dual to de Sitter spacetime from the bulk? Conversely, what can a candidate dual theory teach us about the bulk? In this work, we construct midisuperspace Wheeler-DeWitt states that are localised on the Schwarzschild-de Sitter spacetime. Using these states, we construct a slice-independent worldtube holographic framework in the static patch. We then construct a dictionary between this worldtube proposal and both the T^2 and T^2 + Λ_2 frameworks for cut-off holography. In doing so, we provide a bulk realisation of T^2+ Λ_2 for dS_4 black holes. We identify the average Hamiltonian of our worldtube proposal as the seed energy of the T^2 (+ Λ_2) theories. To recover the T^2 (+ Λ_2) energy spectrum as the average Hamiltonian of a worldtube theory, one must make the bulk framework slice-dependent, and we discuss the consequences of this trade-off.
ER  -