A Review of Magnetic Phenomena in Probe-Brane Holographic Matter

TL;DR

This review explores magnetic phenomena in holographic models with probe branes, highlighting how gauge/gravity duality helps understand strongly interacting matter under magnetic fields across various dimensions.

Contribution

It provides a comprehensive overview of magnetic effects in probe-brane holographic models, including three specific models for different dimensional systems.

Findings

Magnetic fields induce interesting phenomena in holographic matter.

Different probe-brane models capture diverse dimensional systems.

The review summarizes key holographic insights into magnetic phenomena.

Abstract

Gauge/gravity duality is a useful and efficient tool for addressing and studying questions related to strongly interacting systems described by a gauge theory. In this manuscript we will review a number of interesting phenomena that occur in such systems when a background magnetic field is turned on. Specifically, we will discuss holographic models for systems that include matter fields in the fundamental representation of the gauge group, which are incorporated by adding probe branes into the gravitational background dual to the gauge theory. We include three models in this review: the D3-D7 and D4-D8 models, that describe four-dimensional systems, and the D3-D7' model, that describes three-dimensional fermions interacting with a four-dimensional gauge field.