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.
© 2000 American Physical Society
Vatche Sahakian. "Holography, a covariant c function, and the geometry of the renormalization group." Phys. Rev. D 62, 126011 (2000). doi: 10.1103/PhysRevD.62.126011