Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-10-05
JHEP0001:008,2000
Physics
High Energy Physics
High Energy Physics - Theory
59 pages, JHEP class. Minor typos corrected, added remark on positivity of temperature, Sec. 6.1 improved, references added
Scientific paper
10.1088/1126-6708/2000/01/008
We present a general analysis of the thermodynamics of spinning black p-branes of string and M-theory. This is carried out both for the asymptotically-flat and near-horizon case, with emphasis on the latter. In particular, we use the conjectured correspondence between the near-horizon brane solutions and field theories with 16 supercharges in various dimensions to describe the thermodynamic behavior of these field theories in the presence of voltages under the R-symmetry. Boundaries of stability are computed for all spinning branes both in the grand canonical and canonical ensemble, and the effect of multiple angular momenta is considered. A recently proposed regularization of the field theory is used to compute the corresponding boundaries of stability at weak coupling. For the D2, D3, D4, M2 and M5-branes the critical values of Omega/T in the weak and strong coupling limit are remarkably close. Finally, we also show that for the spinning D3-brane the tree level R^4 correction supports the conjecture of a smooth interpolating function between the free energy at weak and strong coupling.
Harmark Troels
Obers Niels A.
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