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

TL;DR

This paper explores how the Hawking-Page phase transition models confinement-deconfinement transitions in supersymmetric Yang-Mills theories by introducing an IR cutoff in the gravitational dual, extending previous holographic models.

Contribution

It generalizes the holographic hard-wall model to various Dp-branes and R-charged black holes, demonstrating the role of IR cutoff in phase transition dynamics.

Findings

IR cutoff enables confinement phase in holographic models

Hawking-Page transition occurs between specific geometries with IR cutoff

Phase transition depends on the presence of IR cutoff in dual gravity

Abstract

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