Holography, a covariant c-function, and the geometry of the renormalization group
High Energy Physics - Theory
2009-10-31 v2 General Relativity and Quantum Cosmology
Abstract
We propose a covariant geometrical expression for the c-function for theories which admit dual gravitational descriptions. We state a c-theorem with respect to this quantity and prove it. We apply the expression to a class of geometries, from domain walls in gauged supergravities, to extremal and near extremal Dp branes, and the AdS Schwarzschild black hole. In all cases, we find agreement with expectations.
Cite
@article{arxiv.hep-th/9910099,
title = {Holography, a covariant c-function, and the geometry of the renormalization group},
author = {Vatche Sahakian},
journal= {arXiv preprint arXiv:hep-th/9910099},
year = {2009}
}
Comments
20 pages, 1 figure; minor clarifications, a reference added, and a few typos corrected