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English

CFT, holography, and causal entropy bound

Published inPhysics letters. B, vol. 507, p. 270-276
Publication date2001
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.

Citation (ISO format)
BRUSTEIN, R., FOFFA, Stefano, VENEZIANO, G. CFT, holography, and causal entropy bound. In: Physics letters. B, 2001, vol. 507, p. 270–276. doi: 10.1016/S0370-2693(01)00172-1
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ISSN of the journal0370-2693
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