How Bob Laughlin Tamed the Giant Graviton from Taub-NUT space

Abstract

In this paper we show how two dimensional electron systems can be modeled by strings interacting with D-branes. The dualities of string theory allow several descriptions of the system. These include descriptions in terms of solitons in the near horizon D6-brane theory, non-commutative gauge theory on a D2-brane, the Matrix Theory of D0-branes and finally as a giant graviton in M-theory. The soliton can be described as a D2-brane with an incompressible fluid of D0-branes and charged string-ends moving on it. Including an NS5 brane in the system allows for the existence of an edge with the characteristic massless chiral edge states of the Quantum Hall system.

26 pages, 4 figures, discussions added

References in corpus (5)

• Dielectric-Branes
• The String Dual of a Confining Four-Dimensional Gauge Theory
• Gauge Theory and the Excision of Repulson Singularities
• A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation
• Curvature Singularities: the Good, the Bad, and the Naked

Cited by in corpus (52)

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• Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry
• Quantum Hall Effect in AdS/CFT
• The Spectrum of the Dirac Operator on Coset Spaces with Homogeneous Gauge Fields
• 6D Fractional Quantum Hall Effect
• Super D-Helix
• AC Transport at Holographic Quantum Hall Transitions
• Realizing the Quantum Hall System in String Theory
• Fluctuations and instabilities of a holographic metal
• Noncommutative Solitons: Moduli Spaces, Quantization, Finite Theta Effects and Stability
• The Stringy Quantum Hall Fluid
• D-brane Dynamics and the Quantum Hall Effect
• D-branes in Massive IIA and Solitons in Chern-Simons Theory
• NC Branes and Hierarchies in Quantum Hall Fluids
• Black Holes in AdS/BCFT and Fluid/Gravity Correspondence
• Matrix Model Description of Laughlin Hall States
• Relating branes and matrices
• A Two Fluid Description of the Quantum Hall Soliton
• Jain States in a Matrix Theory of the Quantum Hall Effect
• Fuzzy Sphere Dynamics and Non-Abelian DBI in Curved Backgrounds
• Dynamics of Giant-Gravitons in the LLM geometry and the Fractional Quantum Hall Effect
• Noncommutative geometry, Quantum effects and DBI-scaling in the collapse of D0-D2 bound states
• The Matrix Chern-Simons One-form as a Universal Chern-Simons Theory
• D1-Strings in Large RR 3-Form Flux, Quantum Nambu Geometry and M5-Branes in C-Field
• Engineering of Quantum Hall Effect from Type IIA String Theory on The K3 Surface
• On Fractional Quantum Hall Solitons in ABJM-like Theory
• Algebraic Geometry Realization of Quantum Hall Soliton
• Embedding Fractional Quantum Hall Solitons in M-theory Compactifications
• Quantum Hall Effect on Odd Spheres
• Matrix model and noncommutative Chern-Simons theory
• Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields
• Tunnelling Effects in a Brane System and Quantum Hall Physics
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• Noncommutative Fluids
• Quantum Hall Effect on the Grassmannians ${\mathbf{Gr}}_2({\mathbb{C}}^N)$
• Brane Realizations of Quantum Hall Solitons and Kac-Moody Lie Algebras
• Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4
• Microstate solutions from black hole deconstruction
• Matrix Effective Theories of the Fractional Quantum Hall effect
• Chaos from Massive Deformations of Yang-Mills Matrix Models
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• Paired quantum Hall states on noncommutative two-tori
• Common physical mechanism for integer and fractional quantum Hall effects
• Fractional Quantum Hall Filling Factors from String Theory using Toric Geometry