A note on the holographic beta and C functions

D. Anselmi, L. Girardello, M. Porrati, A. Zaffaroni

    Research output: Contribution to journalArticle

    Abstract

    The holographic RG flow in AdS/CFT correspondence naturally defines a holographic scheme in which the central charge c and the beta function are related by the formula ċ = -2cβ(a)β(b)G(ab), where G(ab) is the metric of the kinetic term of the supergravity scalars. In particular, the metric in the space of couplings is f(ab) = 2cG(ab). We perform some checks of that result and we compare it with the quantum field theory expectations. We discuss alternative definitions of the c-function. In particular, we compare, for a particular supersymmetric flow, the holographic c-function with the central charge computed directly from the two-point function of the stress-energy tensor. (C) 2000 Elsevier Science B.V.

    Original languageEnglish (US)
    Pages (from-to)346-352
    Number of pages7
    JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Volume481
    Issue number2-4
    DOIs
    StatePublished - May 25 2000

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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