Using the counterterm subtraction technique we calculatehe stress-energy
tensor, action, and other physical quantities for Kerr-AdS black holes in
various dimensions. For Kerr-AdS_5 with both rotation parameters non-zero, we
demonstrate that stress-energy tensor, in the zero mass parameter limit, is
equal to the stress tensor of the weakly coupled four dimensional dual field
theory. As a result, the total energy of the generalKerr-AdS_5 black hole at
zero mass parameter, exactly matches the Casimir energy of the dual field
theory. We show that at high temperature, the general Kerr-AdS_5 and
perturbative field theory stress-energy tensors are equal, up to the usual
factor of 3/4. We also use the counterterm technique to calculate the stress
tensors and actions for Kerr-AdS_6, and Kerr-AdS_7 black holes, with one
rotation parameter, and we display the results. We discuss the conformal
anomalies of the field theories dual to the Kerr-AdS_5 and Kerr-AdS_7
spacetimes. In these two field theories, we show that the rotation parameters
break conformal invariance but not scale invariance, a novel result for a
non-trivial field theory. For Kerr-AdS_7 the conformal anomalies calculated on
the gravity side and the dual (0,2) tensor multiplet theory are equal up to 4/7
factor. We expect that the Casimir energy of the free field theory is the same
as the energy of the Kerr-AdS_7 black hole (with zero mass parameter), up to
that factor.Comment: 18 pages, LaTex (v3: references added. footnote added
