A Quantum Hall Fluid of Vortices

Details A Quantum Hall Fluid of Vortices A Quantum Hall Fluid of Vortices

2003-06-26

arxiv.org/abs/hep-th/0306266v3

JHEP 0402 (2004) 046

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. v2(3): (More) References added

Scientific paper

10.1088/1126-6708/2004/02/046

In this note we demonstrate that vortices in a non-relativistic Chern-Simons theory form a quantum Hall fluid. We show that the vortex dynamics is controlled by the matrix mechanics previously proposed by Polychronakos as a description of the quantum Hall droplet. As the number of vortices becomes large, they fill the plane and a hydrodynamic treatment becomes possible, resulting in the non-commutative theory of Susskind. Key to the story is the recent D-brane realisation of vortices and their moduli spaces.

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