TY - JOUR

T1 - On the canonical c-function in 4-d field theories possessing supergravity duals

AU - Porrati, M.

AU - Starinets, A.

N1 - Funding Information:
M.P. is supported in part by NSF grants no. PHY-9722083 and PHY-0070787.

PY - 2001/1/25

Y1 - 2001/1/25

N2 - 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.

AB - 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.

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U2 - 10.1016/S0370-2693(01)00004-1

DO - 10.1016/S0370-2693(01)00004-1

M3 - Article

AN - SCOPUS:0035945577

SN - 0370-2693

VL - 498

SP - 285

EP - 294

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -