Chemical Potential in the Gravity Dual of a 2+1 Dimensional System

TL;DR

This paper investigates the effects of chemical potentials on probe D5 branes in AdS backgrounds, revealing meson condensation without spontaneous symmetry breaking, providing insights into strongly coupled 2+1 dimensional systems.

Contribution

It introduces a holographic model with chemical potentials for various symmetries, analyzing D5 brane embeddings and meson condensation in a 2+1 dimensional context.

Findings

Isospin chemical potential induces charged meson condensation.

D5 embeddings do not show spontaneous symmetry breaking.

Model provides a dual description of strongly coupled quasi-particles.

Abstract

We study probe D5 branes in D3 brane AdS_5 and AdS_5-Schwarzschild backgrounds as a prototype dual description of strongly coupled 2+1 dimensional quasi-particles. We introduce a chemical potential through the U(1)_R symmetry group, U(1) baryon number and a U(1) of isospin in the multi-flavour case. We find the appropriate D5 embeddings in each case - the embeddings do not exhibit the spontaneous symmetry breaking that would be needed for a superconductor. The isospin chemical potential does induce the condensation of charged meson states.