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Holographic computation of quantum corrections to the bulk cosmological constant

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arxiv 1804.04636 v3 pith:5FNET5OH submitted 2018-04-12 hep-th gr-qc

classification hep-thgr-qc
keywords bulkcomputationconstantcorrectioncosmologicaleinsteinleadingnext
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We explore the program of the construction of the dual bulk theory in the flow equation approach. We compute the vacuum expectation value of the Einstein operator at the next to leading order in the 1/n expansion using a free O(n) vector model. We interpret the next to leading correction as the quantum correction to the cosmological constant of the AdS space. We finally comment on how to generalize this computation to matrix elements of the Einstein operator for excited states.

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  1. Derivation of the GKP-Witten relation by symmetry without Lagrangian

    hep-th 2024-11 conditional novelty 6.0 of 10

    For arbitrary spin and to all orders in an external source, the boundary limit of conformally smeared bulk operators equals the CFT generating functional, so the GKP-Witten relation follows from symmetry and OPE alone.

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