Holography, a covariant c-function, and the geometry of the renormalization group

Details Holography, a covariant c-function, and the geometry of the renormalization group Holography, a covariant c-function, and the geometry of the renormalization group

1999-10-12

arxiv.org/abs/hep-th/9910099v2

Phys.Rev. D62 (2000) 126011

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 1 figure; minor clarifications, a reference added, and a few typos corrected

Scientific paper

10.1103/PhysRevD.62.126011

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.

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