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The dS/dS Correspondence

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arxiv hep-th/0407125 v2 pith:A7HPMEAC submitted 2004-07-14 hep-th

Mohsen Alishahiha , Andreas Karch , Eva Silverstein , David Tong This is my paper · ORCID
classification hep-th
keywords sitterfieldprobesbranedualgravitythermalaction
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present a holographic duality for the de Sitter static patch which consolidates basic features of its geometry and the behavior of gravity and brane probes, valid on timescales short compared to the decay or Poincare recurrence times. Namely de Sitter spacetime $dS_d(R)$ in $d$ dimensions with curvature radius $R$ is holographically dual to two conformal field theories on $dS_{d-1}(R)$, cut off at an energy scale 1/R where they couple to each other and to $d-1$ dimensional gravity. As part of our analysis, we study brane probes in de Sitter and thermal Anti de Sitter spaces, and interpret the terms in the corresponding DBI action via strongly coupled thermal field theory. This provides a dual field theoretic interpretation of the fact that probes take forever to reach a horizon in general relativity.

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Cited by 12 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Monitoring a de Sitter universe through an anti-de Sitter window

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    In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.

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    Computes inflationary bispectra and trispectra from tree-level unparticle exchanges using Mellin-Barnes methods and symmetry-based differential equations, revealing that full shapes are needed to distinguish unparticl...

  6. Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT

    hep-th 2019-09 conditional novelty 7.0 of 10

    Smooth Euclidean saddles with thin domain walls cannot create inflating interiors in AdS, but can create arbitrarily large bag-of-gold geometries at fixed black hole entropy.

  7. Negative shocks versus static patch holography

    hep-th 2026-07 conditional novelty 6.0 of 10

    Out-of-time-order correlators along a de Sitter observer worldline, computed with the shockwave eikonal formalism including recoil and backreaction, violate the cyclicity and positivity required of a trace, falsifying...

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    The Euclidean path integral on elliptic de Sitter defines a no-boundary density matrix whose entropies reduce to vertex operator correlators on non-orientable surfaces, with a one-dimensional global Hilbert space but ...

  9. Observers and Timekeepers: From the Page-Wootters Mechanism to the Gravitational Path Integral

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    Entanglement islands in the AdS/bath island model realize the quantum-gravity 'observer' as a Goldstone vector mode, making the island operator algebra an emergent Type II∞ von Neumann algebra.

  11. Entanglement entropy and $T\bar T$ deformations beyond antipodal points from holography

    hep-th 2019-08 conditional novelty 6.0 of 10

    For a holographic (A)dS spacetime with a hard radial cutoff, the entanglement entropy of any interval on the sphere equals the antipodal-point formula with radius R cos(beta_epsilon).

  12. The Baby Universe is Fine and the CFT Knows It: On Holography for Closed Universes

    hep-th 2025-07 conditional novelty 5.0 of 10

    A closed universe in AdS/CFT is not ruled out by recent SWAP-test arguments; the one-dimensional Hilbert space seen from the CFT is external indistinguishability, and CFT data can reconstruct the closed universe's geometry.

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