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WorksPhysics and Astronomy

Go with the flow(s): radial de Sitter holography and T2(+Λ2)T^2 (+ Λ_2)

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CC BY 4.0
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Abstract · v1

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 T2T^2 and T2+Λ2T^2 + Λ_2 frameworks for cut-off holography. In doing so, we provide a bulk realisation of T2+Λ2T^2+ Λ_2 for dS4_4 black holes. We identify the average Hamiltonian of our worldtube proposal as the seed energy of the T2(+Λ2)T^2 (+ Λ_2) theories. To recover the T2(+Λ2)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.

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