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On the Canonical c-Function in 4-d Field Theories Possessing Supergravity Duals

M. Porrati·A. Starinets
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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 5-d 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 paper.

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M. Porrati, A. Starinets. 2000-09-27. On the Canonical c-Function in 4-d Field Theories Possessing Supergravity Duals. https://doi.org/10.1016/s0370-2693(01)00004-1

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