Embedding Fractional Quantum Hall Solitons in M-theory Compactifications

Abstract

We engineer U(1)^n Chern-Simons type theories describing fractional quantum Hall solitons (QHS) in 1+2 dimensions from M-theory compactified on eight dimensional hyper-Kähler manifolds as target space of N=4 sigma model. Based on M-theory/Type IIA duality, the systems can be modeled by considering D6-branes wrapping intersecting Hirzebruch surfaces F_0's arranged as ADE Dynkin Diagrams and interacting with higher dimensional R-R gauge fields. In the case of finite Dynkin quivers, we recover well known values of the filling factor observed experimentally including Laughlin, Haldane and Jain series.

Latex, 14 pages. Modified version, to appear in IJGMMP

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Cited by in corpus (5)

• A holographic model for the fractional quantum Hall effect
• Holographic Hall conductivities from dyonic backgrounds
• Brane Realizations of Quantum Hall Solitons and Kac-Moody Lie Algebras
• On Mass Gap in Type IIB Quantum Hall Solitons
• Fractional Quantum Hall Filling Factors from String Theory using Toric Geometry