We study N = 4 super Yang-Mills theories on a three-sphere with two types of chemical potential. One is associated with the R-symmetry and the other with the rotational symmetry of S3 (SO(4) symmetry). These correspond to charged Kerr- AdS black holes via AdS/CFT. The exact partition functions at zero coupling are computed and the thermodynamical properties are studied. We find a nontrivial gap between the confinement/deconfinement transition line and the boundary of the phase diagram when we include more than four chemical potentials. In dual gravity, we find such a gap in the phase diagram by studying the thermodynamics of the charged Kerr-AdS black hole. This shows that the qualitative phase structures agree between both theories.
|Publication status||Published - Dec 1 2008|
|Event||18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 - Higashi-Hiroshima, Japan|
Duration: Nov 17 2008 → Nov 21 2008
|Other||18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008|
|Period||11/17/08 → 11/21/08|
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics