TL;DR
This paper explores the relationship between noncommutative gauge theories, matrix models, and fluid mechanics, illustrating their connections through examples like the quantum Hall effect and fermion bosonization.
Contribution
It provides a comprehensive review of how noncommutative gauge theories relate to fluid systems, with specific applications to quantum Hall physics.
Findings
Noncommutative Chern-Simons theory describes quantum Hall states.
Matrix models are connected to fluid dynamics in noncommutative spaces.
Bosonization of fermions can be understood via noncommutative gauge theory.
Abstract
We review the connection between noncommutative gauge theory, matrix models and fluid mechanical systems. The noncommutative Chern-Simons description of the quantum Hall effect and bosonization of collective fermion states are used as specific examples.
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