Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-11-16
JHEP 9912 (1999) 020
Physics
High Energy Physics
High Energy Physics - Theory
14 pages (harvmac b-mode), signs corrected, minor changes otherwise
Scientific paper
10.1088/1126-6708/1999/12/020
String or M-theory in the background of Kerr-AdS black holes is thought to be dual to the large n limit of certain conformal field theories on a rotating sphere at finite temperature. The five dimensional black hole is associated to N=4 supersymmetric Yang-Mills theory on a rotating three-sphere and the four dimensional one to the superconformal field theory of coinciding M2 branes on a rotating two-sphere. The thermodynamic potentials can be expanded in inverse powers of the radius of the sphere. We compute the leading and subleading terms of this expansion in the field theory at one loop and compare them to the corresponding supergravity expressions. The ratios between these terms at weak and strong coupling turns out not to depend on the rotation parameters in the case of N=4 SYM. For the field theory living on one M2 brane we find a subleading logarithmic term. No such term arises from the supergravity calculation.
Landsteiner Karl
Lopez Eduardo
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