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On excited states in real-time AdS/CFT

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arxiv 1512.07850 v2 pith:L7EIDAOO submitted 2015-12-24 hep-th

Marcelo Botta-Cantcheff , Pedro J. Martínez , Guillermo A. Silva This is my paper · ORCID
classification hep-th
keywords statesexcitedholographiccalculationlocaloperatorsprescriptionrees
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abstract

The Skenderis-van Rees prescription, which allows the calculation of time-ordered correlation functions of local operators in CFT's using holographic methods is studied and applied for excited states. Calculation of correlators and matrix elements of local CFT operators between generic in/out states are carried out in global Lorentzian AdS. We find the precise form of such states, obtain an holographic formula to compute the inner product between them, and using the consistency with other known prescriptions, we argue that the in/out excited states built according to the Skenderis-Van Rees prescription correspond to {\it coherent} states in the (large-$N$) AdS-Hilbert space. This is confirmed by explicit holographic computations. The outcome of this study has remarkable implications on generalizing the Hartle-Hawking construction for wave functionals of excited states in AdS quantum gravity.

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Cited by 3 Pith papers

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

  1. Toward Krylov-based holography in double-scaled SYK

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    Establishes a threefold duality linking Krylov complexity growth rate to wormhole velocity and proper momentum in DSSYK holography, with higher moments capturing replica wormholes and Krylov entropy equaling parent-ge...

  2. The (No) Boundary Proposal and excited states in de Sitter holography

    hep-th 2025-06 conditional novelty 6.0 of 10

    Adding an extra Euclidean boundary to the no-boundary de Sitter path integral defines a family of excited states whose holographic correlators are modified relative to the vacuum.

  3. Signature change as phase transition in holography

    hep-th 2025-05 conditional novelty 4.0 of 10

    Entangled holographic states below the Hawking-Page temperature stay classically connected through Euclidean spacetime regions, extending ER-EPR to cases where Lorentzian wormholes are unstable.

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