Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-04-16
Nucl.Phys.B475:164-178,1996
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, harvmac; improved discussion of M-theory charge quantization (version to appear in Nucl. Phys. B)
Scientific paper
10.1016/0550-3213(96)00295-7
We carry out a thorough survey of entropy for a large class of $p$-branes in various dimensions. We find that the Bekenstein-Hawking entropy may be given a simple world volume interpretation only for the non-dilatonic $p$-branes, those with the dilaton constant throughout spacetime. The entropy of extremal non-dilatonic $p$-branes is non-vanishing only for the solutions preserving 1/8 of the original supersymmetries. Upon toroidal compactification these reduce to dyonic black holes in 4 and 5 dimensions. For the self-dual string in 6 dimensions, which preserves 1/4 of the original supersymmetries, the near-extremal entropy is found to agree with a world sheet calculation, in support of the existing literature. The remaining 3 interesting cases preserve 1/2 of the original supersymmetries. These are the self-dual 3-brane in 10 dimensions, and the 2- and 5-branes in 11 dimensions. For all of them the scaling of the near-extremal Bekenstein-Hawking entropy with the Hawking temperature is in agreement with a statistical description in terms of free massless fields on the world volume.
Klebanov Igor R.
Tseytlin Arkady A.
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