On the canonical c-function in 4-d field theories possessing supergravity duals
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 498:3-4 (2001) 285-294
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 5d 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 Letter. 漏 2001 Published by Elsevier Science B.V.Pathologies of the large-N limit for RP^{N-1}, CP^{N-1}, QP^{N-1} and mixed isovector/isotensor sigma-models
(2000)
On the Canonical c-Function in 4-d Field Theories Possessing Supergravity Duals
(2000)
Holographic Duals of 4D Field Theories
(2000)
RG fixed points in supergravity duals of 4-d field theory and asymptotically AdS spaces
Physics Letters B Elsevier 454:1-2 (1999) 77-83