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Krause, Axel

On the Bekenstein-Hawking entropy, noncommutative branes and logarithmic corrections. (English) Zbl 1149.83016

Int. J. Mod. Phys. A 21, No. 22, 4449-4461 (2006).
Summary: We extend our earlier work on the possible microscopic origin of the Bekenstein-Hawking entropy to higher-dimensional space-times. The mechanism of counting chain-like states is shown to work for space–times with event horizon wrapped by a Euclidean doublet \((E_{1},M_{1})+(E_{2},M_{2})\) of electric-magnetic dual brane pairs of type II string-theory or \(M\)-theory. Noncommutativity on the brane worldvolume enters naturally the derivation of the Bekenstein-Hawking entropy including the correct prefactor. Moreover, a logarithmic correction with prefactor 1/2 is predicted.

Cited in 1 Document

MSC:

83C57 Black holes
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83C65 Methods of noncommutative geometry in general relativity
83E30 String and superstring theories in gravitational theory
81T75 Noncommutative geometry methods in quantum field theory

Keywords:

Bekenstein-Hawking entropy; D-branes
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