The AdS/CFT relation, quasi-normal modes and applications

TL;DR

This paper reviews recent developments in AdS/CFT applications, including brane world perturbations and holographic superconductors, and explores phase transition structures indicated by quasi-normal modes.

Contribution

It provides a concise overview of new results in gravity applications within AdS/CFT, emphasizing the role of quasi-normal modes in phase transition analysis.

Findings

Quasi-normal modes reveal complex phase transition structures.

Applications to holographic superconductors show new insights.

Perturbation analysis advances in brane world models.

Abstract

Here we present a fast review of some of developments and new results concerning applications of gravity in the context of the AdS/CFT correspondence, in brane world perturbations as well as in holographic superconductors. We also discuss the structure of the phase transitions in a more general set up defined by the quasi-normal oscillations in the bulk, which signalize a very complex structure of the phase transition at the border.