On a Holographic Model for Confinement/Deconfinement

Understand

We study the thermodynamics of the hard wall model, which consists in the introduction of an infrared cut-off in asymptotically AdS spaces.

• This is a toy model for confining backgrounds in the context of the gauge/gravity correspondence.
• We use holographic renormalization and reproduce the existence of a Hawking Page phase transition recently discussed by Herzog.
• We also show that the entropy jumps from $N^0$ to $N^2$, which reinforces the interpretation of this transition as the gravity dual of confinement/deconfinement.