A note on the topological order of noncommutative Hall fluids

Abstract

We evaluate the ground state degeneracy of noncommutative Chern-Simons models on the two-torus, a quantity that is interpreted as the "topological order" of associated phases of Hall fluids. We define the noncommutative theory via T-duality from an ordinary Chern-Simons model with non-abelian 't Hooft magnetic fluxes. Motivated by this T-duality, we propose a discrete family of noncommutative, non-abelian fluid models, arising as a natural generalization of the standard noncommutative Chern-Simons effective models. We compute the topological order for these universality classes, and comment on their possible microscopic interpretation.

14 pages

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Cited by in corpus (6)

• Noncommutative Geometry and Fluid Dynamics
• Noncommutative fluid dynamics in the Snyder space-time
• Noncommutative fluid dynamics in the Kähler parametrization
• Plane waves in noncommutative fluids
• Noncommutative effects on the fluid dynamics and modifications of the Freidmann equation
• Renormalization Group Flow for Noncommutative Fermi Liquids