Hall Conductivity of Flavor Fields from AdS/CFT

TL;DR

This paper uses AdS/CFT to calculate the conductivity of massive hypermultiplet fields in a strongly coupled plasma, revealing how external fields influence charge transport and drag forces in a holographic setup.

Contribution

It introduces a method to compute flavor field conductivity and drag force in a holographic model with massive hypermultiplets at finite density, extending previous zero-density results.

Findings

Conductivity tensor computed for massive hypermultiplets.

Drag force on charge carriers analyzed at large mass.

Product of drag coefficient and kinetic mass remains unchanged from zero density case.

Abstract

We use the AdS/CFT correspondence to compute a conductivity associated with massive N=2 supersymmetric hypermultiplet fields at finite baryon density, propagating through an N=4 supersymmetric SU(Nc) Yang-Mills plasma in the large Nc, large 't Hooft coupling limit. We do so by introducing external electric and magnetic fields coupled to baryon number and computing the resulting induced current, from which we extract the conductivity tensor. At large hypermultiplet mass we compute the drag force on the charge carriers. We also compute the product of the drag coefficient with the kinetic mass, and find that the answer is unchanged from the zero density case. The gravitational dual is a probe D7-brane, with a nontrivial worldvolume gauge field configuration, in an AdS-Schwarzschild background. We identify an effective horizon on the D7-brane worldvolume analogous to the worldsheet horizon observed for strings moving in the same background. We generalize our results to a class of theories described by probe D-branes in various backgrounds.