Topological charges and confined-deconfined phase transition in holography

TL;DR

This paper explores how topological charges in holography relate to the confined-deconfined phase transition in gauge theories, using a holographic AdS/QCD model to connect topological changes with phase transitions.

Contribution

It demonstrates that introducing an energy scale in AdS space alters the topological class, linking topological charge changes to the confinement-deconfinement transition.

Findings

Topological charge changes correspond to phase transition points.

Hawking Page transition marks the boundary between confined and deconfined phases.

Energy scale introduction modifies the topological class in holographic models.

Abstract

In recent years, many interesting works providing a topological description for black hole (BH) properties have appeared in the literature. In particular, in this framework BHs correspond to topological defects in an enlarged (off-shell) parameter space, with an associated total topological charge. In gauge/gravity duality the transition from the confined to the deconfined phase is mapped into the dominance of a BH phase in the gravity side. Here we show, using a holographic AdS/QCD model, that the introduction of an energy scale in anti-de Sitter (AdS) space results in a change in the topological class. Such a modification corresponds to the existence of confined and deconfined phases, separated by a Hawking Page transition at a finite critical temperature.