### 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 language | English (US) |
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Pages (from-to) | 346-352 |

Number of pages | 7 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 481 |

Issue number | 2-4 |

DOIs | |

State | Published - May 25 2000 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*481*(2-4), 346-352. https://doi.org/10.1016/S0370-2693(00)00472-X