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arXiv · hep-th/0306266

A Quantum Hall Fluid of Vortices

David Tong
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Abstract

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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David Tong. 2003-07-03. A Quantum Hall Fluid of Vortices. https://doi.org/10.1088/1126-6708%2F2004%2F02%2F046

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