Holographic applications of logarithmic conformal field theories

TL;DR

This paper reviews the connections between logarithmic conformal field theories and holographic dualities involving gravity theories in Anti-de Sitter space, highlighting recent progress, generalizations, and future directions.

Contribution

It provides a comprehensive overview of holographic applications of logarithmic conformal field theories, including new generalizations and future outlooks.

Findings

Summarized recent developments in holographic logarithmic CFTs.

Included novel generalizations of holographic correspondences.

Outlined future research directions in the field.

Abstract

We review the relations between Jordan cells in various branches of physics, ranging from quantum mechanics to massive gravity theories. Our main focus is on holographic correspondences between critically tuned gravity theories in Anti-de Sitter space and logarithmic conformal field theories in various dimensions. We summarize the developments in the past five years, include some novel generalizations and provide an outlook on possible future developments.