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Geometric Holography, the Renormalization Group and the c-Theorem

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arxiv hep-th/9807226 v1 pith:2S52FT3W submitted 1998-07-30 hep-th

Enrique Alvarez , Cesar Gomez This is my paper · ORCID
classification hep-th
keywords c-theoremgroupholographicinvariantrenormalizationalongbulkclarified
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In this paper the whole geometrical set-up giving a conformally invariant holographic projection of a diffeomorphism invariant bulk theory is clarified. By studying the renormalization group flow along null geodesic congruences a holographic version of Zamolodchikov's c-theorem is proven.

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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. Covariant unification of holographic c-functions

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    A new covariant c-function is defined from extrinsic curvature of codimension-two bulk slices, unifying prior foliation-based definitions and exhibiting expected monotonic behavior in conformal, confining, and mixed-g...

  2. $SO(1, d + 1)$ symmetry of the Exact RG equation

    hep-th 2026-01 conditional novelty 6.0 of 10

    The ERG evolution operator is SO(1,d+1)-invariant for any admissible cutoff, with cutoff-dependent conformal generators that reduce to standard AdS isometries for the special AdS-mapping cutoff.

  3. Krylov Complexity and $c$-function along RG Flows

    hep-th 2026-08 conditional novelty 4.0 of 10

    Along holographic RG flows, the acceleration of spread complexity and the covariant c-function are algebraically related: inversely in fixed-dimension domain walls and Dp-branes, co-monotonically in twisted compactifications.

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