A Note on the Holographic Beta and C Functions
High Energy Physics - Theory
2009-10-31 v2
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 a universal formula. We perform some checks of that formula and we compare it with 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.
Keywords
Cite
@article{arxiv.hep-th/0002066,
title = {A Note on the Holographic Beta and C Functions},
author = {D. Anselmi and L. Girardello and M. Porrati and A. Zaffaroni},
journal= {arXiv preprint arXiv:hep-th/0002066},
year = {2009}
}
Comments
Version accepted for publication in Phys. Lett. B, expanded introduction. 11 pages, 2 embedded eps figures