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arXiv · 1107.2295

On Fractional Quantum Hall Solitons in ABJM-like Theory

Adil Belhaj
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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.

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Adil Belhaj. 2011-07-12. On Fractional Quantum Hall Solitons in ABJM-like Theory. https://doi.org/10.1016/j.physletb.2011.10.060

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