On Fractional Quantum Hall Solitons in ABJM-like Theory
arXiv:1107.2295 · doi:10.1016/j.physletb.2011.10.060
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.
10 pages, Latex
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- On Fractional Quantum Hall Solitons and Chern-Simons Quiver Gauge Theories
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- Fractional Quantum Hall Filling Factors from String Theory using Toric Geometry