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CFT, holography, and causal entropy bound

Brustein, R.
Veneziano, G.
Published in Physics Letters. B. 2001, vol. 507, p. 270-276
Abstract 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 CFT's with a large number of fields, $N$, the CEB is found to be valid for temperatures not exceeding a value of order $M_P/N^{{1over D-2}}$, 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 CFT's and strongly coupled CFT's 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.
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BRUSTEIN, R., FOFFA, Stefano, VENEZIANO, G. CFT, holography, and causal entropy bound. In: Physics Letters. B, 2001, vol. 507, p. 270-276. https://archive-ouverte.unige.ch/unige:2208

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Deposited on : 2009-07-07

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