On Fractional Quantum Hall Solitons in ABJM-like Theory

TL;DR

This paper explores fractional quantum Hall solitons within ABJM-like theories using D-brane physics and type IIA dual geometries, introducing new CS quiver models for multi-layer FQHS systems.

Contribution

It introduces a novel class of CS quiver models derived from D-brane configurations to describe FQHS in ABJM-like theories, including multi-layer generalizations.

Findings

Single-layer FQHS model based on CS quivers

Multi-layer FQHS system generalization

Connection to topological defects in graphene

Abstract

Using D-brane physics, we study fractional quantum Hall solitons (FQHS) in ABJM-like theory in terms of type IIA dual geometries. In particular, we discuss a class of Chern-Simons (CS) quivers describing FQHS sytems at low energy. These CS quivers come from R-R gauge fields interacting with D6-branes wrapped on 4-cycles, which reside within a blown up CP^3 projective space. Based on the CS quiver method and mimicking the construction of del Pezzo surfaces in terms of CP^2, we first give a model which corresponds to a single layer model of FQHS system, then we propose a multi-layer system generalizing the doubled CS field theory, which is used in the study of topological defect in graphene.