### Abstract

We study monotonicity and other properties of the canonical c-function (defined through the correlator of the energy-momentum tensor) in some holographic duals of 4-d quantum field theories. The canonical c-function and its derivatives are related to the 5d Green's function of the dual supergravity theory. While positivity of the canonical c-function is obvious, we have not found a general proof of its monotonicity, even though c is monotonic in the few explicit examples we examine in this Letter.

Original language | English (US) |
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Pages (from-to) | 285-294 |

Number of pages | 10 |

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

Volume | 498 |

Issue number | 3-4 |

DOIs | |

State | Published - Jan 25 2001 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Porrati, M., & Starinets, A. (2001). On the canonical c-function in 4-d field theories possessing supergravity duals.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,*498*(3-4), 285-294. https://doi.org/10.1016/S0370-2693(01)00004-1