A quantum Hall fluid of vortices
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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- February 2004
- DOI:
- 10.1088/1126-6708/2004/02/046
- arXiv:
- arXiv:hep-th/0306266
- Bibcode:
- 2004JHEP...02..046T
- Keywords:
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- Solitons Monopoles and Instantons Chern-Simons Theories Brane Dynamics in Gauge Theories;
- High Energy Physics - Theory;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 10 pages. v2(3): (More) References added