Flux and Hall states in ABJM with dynamical flavors

TL;DR

This paper investigates the effects of internal flux on probe D6-branes in the ABJM model with dynamical flavors, revealing quantum Hall states, parity breaking, and conductivity behaviors in holographic setups.

Contribution

It introduces new supersymmetric solutions with flux and charge density, elucidating the role of dynamical flavors and flux in quantum Hall phenomena within the ABJM framework.

Findings

Flux induces quantum Hall states and parity breaking.

Conductivities depend on flux and flavor contributions, indicating intrinsic disorder.

Explicit analytic solutions with nonzero charge, electric, and magnetic fields are provided.

Abstract

We study the physics of probe D6-branes with quantized internal worldvolume flux in the ABJM background with unquenched massless flavors. This flux breaks parity in the (2+1)-dimensional gauge theory and allows quantum Hall states. Parity breaking is also explicitly demonstrated via the helicity dependence of the meson spectrum. We obtain general expressions for the conductivities, both in the gapped Minkowski embeddings and in the compressible black hole ones. These conductivities depend on the flux and contain a contribution from the dynamical flavors which can be regarded as an effect of intrinsic disorder due to quantum fluctuations of the fundamentals. We present an explicit, analytic family of supersymmetric solutions with nonzero charge density, electric, and magnetic fields.