Geometric holography, the renormalization group and the c-theorem

1998/07/30 by Enrique Alvarez, Enrique Alarcón Álvarez, Cesar Gomez +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/s0550-3213(98)00752-4

published as Nucl.Phys. B541 (1999) 441-460 · 28 pages, Latex, 2 figures

arxiv created 1998/07/30 · openalex publication_date 1999/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The World as a Hologram
• Relativistic Cosmology. I

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• Instanton-induced scalar potential for the universal hypermultiplet