Geometric Holography, the Renormalization Group and the c-Theorem

Abstract

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.

28 pages, Latex, 2 figures

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