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Spacetime and the Holographic Renormalization Group

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arxiv hep-th/9903190 v1 pith:K4SQKTNP submitted 1999-03-22 hep-th

Vijay Balasubramanian , Per Kraus This is my paper
classification hep-th
keywords spacefoliationgroupholographicrenormalizationtheoriesanti-deboundary
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Anti-de Sitter (AdS) space can be foliated by a family of nested surfaces homeomorphic to the boundary of the space. We propose a holographic correspondence between theories living on each surface in the foliation and quantum gravity in the enclosed volume. The flow of observables between our ``interior'' theories is described by a renormalization group equation. The dependence of these flows on the foliation of space encodes bulk geometry.

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  1. On the spectra of holographic QFTs on constant curvature manifolds

    hep-th 2025-05 conditional novelty 7.0 of 10

    For holographic QFTs on constant-curvature manifolds, the spectrum is always discrete for negative curvature and always has a continuous component starting at m^2 = (9/4)α^{-2} for positive curvature.

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