Holographic Confinement/Deconfinement Transitions in Asymptotically Lifshitz Spacetimes

TL;DR

This paper explores phase transitions between soliton and black hole solutions in asymptotically Lifshitz spacetimes, extending holographic confinement/deconfinement models beyond AdS spaces, and provides numerical phase diagrams.

Contribution

It introduces a new extension of holographic phase transition models to Lifshitz spacetimes and constructs solutions numerically.

Findings

Existence of a phase transition between Lifshitz soliton and black hole.

Numerical construction of solutions and phase diagram.

Confirmation of phase transition presence in Lifshitz geometries.

Abstract

Under a Scherk-Schwarz compactification, the AdS soliton and black brane provide a dual description to a confinement/deconfinement phase transition. We extend this construction to asymptotically Lifshitz spacetimes. In particular, we show that there must be a phase transition between the soliton and black hole if the solutions exist. We also construct these solutions numerically and compute the phase diagram.