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We show that the confinement-deconfinement phase transition of supersymmetricYang-Mills theories with 16 supercharges in various dimensions can be realizedthrough the Hawking-Page phase transition between the near horizon geometriesof black Dp-branes and BPS Dp-branes by removing a small radius region in thegeometry in order to realize a confinement phase, which generalizes theHerzog's discussion for the holographic hard-wall AdS/QCD model. Removing asmall radius region in the gravitational dual corresponds to introducing an IRcutoff in the dual field theory. We also discuss the Hawking-Page phasetransition between thermal $AdS_5$, $AdS_4$, $AdS_7$ spaces and R-charged AdSblack holes coming from the spherical reduction of the decoupling limit ofrotating D3-, M2-, and M5- branes in type IIB supergravity and 11 dimensionalsupergravity in grand canonical ensembles, where the IR cutoff also plays acrucial role in the existence of the phase transition.

Hawking-Page Phase Transition of black Dp-branes and R-charged black holes with an IR Cutoff