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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

Geometric Holography, the Renormalization Group and the c-Theorem

Enrique Alvarez , Cesar Gomez This is my paper
classification hep-th
keywords c-theoremgroupholographicinvariantrenormalizationalongbulkclarified
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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    hep-th 2026-05 unverdicted novelty 7.0

    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...