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

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

2000-09-27

arxiv.org/abs/hep-th/0009227v1

Phys.Lett. B498 (2001) 285-294

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 4 figures

Scientific paper

10.1016/S0370-2693(01)00004-1

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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