TY - JOUR

T1 - CFT, holography, and causal entropy bound

AU - Brustein, R.

AU - Foffa, S.

AU - Veneziano, G.

N1 - Funding Information:
R.B. and S.F. are supported in part by the Israel Science Foundation. S.F. is also supported in part by Della Riccia Foundation and the Kreitman Foundation. G.V. wishes to acknowledge the support of a “Chaire Internationale Blaise Pascal” administered by the Foundation of the Ecole Normale Superieure.

PY - 2001/5/17

Y1 - 2001/5/17

N2 - The causal entropy bound (CEB) is confronted with recent explicit entropy calculations in weakly and strongly coupled conformal field theories (CFTs) in arbitrary dimension D. For CFTs with a large number of fields, N, the CEB is found to be valid for temperatures not exceeding a value of order Mp/N1/D-2, in agreement with large N bounds in generic cut-off theories of gravity, and with the generalized second law. It is also shown that for a large class of models including high-temperature weakly coupled CFTs and strongly coupled CFTs with AdS duals, the CEB, despite the fact that it relates extensive quantities, is equivalent to (a generalization of) a purely holographic entropy bound proposed by E. Verlinde.

AB - The causal entropy bound (CEB) is confronted with recent explicit entropy calculations in weakly and strongly coupled conformal field theories (CFTs) in arbitrary dimension D. For CFTs with a large number of fields, N, the CEB is found to be valid for temperatures not exceeding a value of order Mp/N1/D-2, in agreement with large N bounds in generic cut-off theories of gravity, and with the generalized second law. It is also shown that for a large class of models including high-temperature weakly coupled CFTs and strongly coupled CFTs with AdS duals, the CEB, despite the fact that it relates extensive quantities, is equivalent to (a generalization of) a purely holographic entropy bound proposed by E. Verlinde.

UR - http://www.scopus.com/inward/record.url?scp=0035902015&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(01)00172-1

DO - 10.1016/S0370-2693(01)00172-1

M3 - Article

AN - SCOPUS:0035902015

VL - 507

SP - 270

EP - 276

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

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

SN - 0370-2693

IS - 1-4

ER -