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Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime

6 Pith papers cite this work, alongside 503 external citations. Polarity classification is still indexing.

6 Pith papers citing it
503 external citations · Pith
abstract

We investigate the details of the bulk-boundary correspondence in Lorentzian signature anti-de Sitter space. Operators in the boundary theory couple to sources identified with the boundary values of non-normalizable bulk modes. Such modes do not fluctuate and provide classical backgrounds on which bulk excitations propagate. Normalizable modes in the bulk arise as a set of saddlepoints of the action for a fixed boundary condition. They fluctuate and describe the Hilbert space of physical states. We provide an explicit, complete set of both types of modes for free scalar fields in global and Poincar\'e coordinates. For $\ads{3}$, the normalizable and non-normalizable modes originate in the possible representations of the isometry group $\SL_L\times\SL_R$ for a field of given mass. We discuss the group properties of mode solutions in both global and Poincar\'e coordinates and their relation to different expansions of operators on the cylinder and on the plane. Finally, we discuss the extent to which the boundary theory is a useful description of the bulk spacetime.

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hep-th 6

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2026 6

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representative citing papers

Holographic Banners

hep-th · 2026-04-02 · unverdicted · novelty 8.0

Holographic banners are four-argument on-shell actions that map thermofield double boundary states to future interior semiclassical states and yield BKL mixing timescales in AdS black holes.

CFT Dual for Timelike Geodesic in Lorentzian dS

hep-th · 2026-06-27 · conditional · novelty 6.0

Timelike geodesic-integrated Wightman functions in dS are dual to bulk-operator correlators with a linear combination of an OPE block and its Casimir partner.

Excitability of Gaussian states with VEVs

hep-th · 2026-06-22 · unverdicted · novelty 5.0

Proves excitability of Gaussian states with VEVs requires connected two-point criteria plus bounded VEV difference, with explicit AdS/CFT application.

citing papers explorer

Showing 6 of 6 citing papers.

  • Holographic Banners hep-th · 2026-04-02 · unverdicted · none · ref 21

    Holographic banners are four-argument on-shell actions that map thermofield double boundary states to future interior semiclassical states and yield BKL mixing timescales in AdS black holes.

  • Entanglement Wedge Reconstruction without Holographic Quantum Error Correction hep-th · 2026-07-09 · conditional · none · ref 9 · internal anchor

    A locality-based commutant argument shows that finite-N holographic CFTs lack the protected logical sector required for holographic quantum error correction, leaving only region-by-region entanglement wedge reconstruction.

  • CFT Dual for Timelike Geodesic in Lorentzian dS hep-th · 2026-06-27 · conditional · none · ref 9 · internal anchor

    Timelike geodesic-integrated Wightman functions in dS are dual to bulk-operator correlators with a linear combination of an OPE block and its Casimir partner.

  • Birth of Inflationary Universes via Wineglass Wormholes and their No-Boundary Relatives hep-th · 2026-05-11 · conditional · none · ref 33

    Wineglass wormholes, which can nucleate expanding baby universes, continuously connect to no-boundary instantons as their charge vanishes.

  • Excitability of Gaussian states with VEVs hep-th · 2026-06-22 · unverdicted · none · ref 14 · internal anchor

    Proves excitability of Gaussian states with VEVs requires connected two-point criteria plus bounded VEV difference, with explicit AdS/CFT application.

  • Bulk Motion in Global AdS$_3$ from the Boundary Energy-Density Perspective hep-th · 2026-05-25 · unverdicted · none · ref 30 · internal anchor

    Boundary energy densities in CFT2 encode the periodic boundary-to-boundary propagation of null excitations in global AdS3 via chiral peaks whose weights and timing track bulk geodesics.