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Statistical Mechanics of Exponentially Many Low Lying States
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Statistical Mechanics of Exponentially Many Low Lying States
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It has recently been argued that for near-extremal black holes, the entropy and the energy above extremality respectively receive a logT and a T-linear correction, where T is the temperature. We show that both these features can be derived in a low but not too low temperature regime, by assuming the existence of exponentially many low lying states cleanly separated from rest of the spectrum, without using any specific theory. Argument of the logarithm in the expression of entropy is seen to be the ratio of temperature and the bandwidth of the low lying states. We argue that such spectrum might arise in non-supersymmetric extremal brane systems. Our findings strengthen Page's suggestion that there is no true degeneracy for non-supersymmetric extremal black holes.
Forward citations
Cited by 2 Pith papers
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Classical Unattainability of Extremality in non-BPS D-brane Systems
For a non-BPS four-charge D-brane system in N=8 string theory, the worldline potential has no classical zero-energy minimum, so extremality is unattainable; entropy is proposed as the logarithm of the number of isolat...
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An extremal black hole with a unique ground state
Microscopic D-brane description of non-supersymmetric extremal black holes yields a unique ground state with non-zero energy, confirming absence of degeneracy.
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