Vortex description of quantum Hall ferromagnets

Abstract

We study particle states of quantum Hall ferromagnet from the viewpoint of the incompressible fluid description. It is shown that phase space of Chern-Simons matrix theory which is an effective theory for the incompressible fluid is equivalent to moduli space of vortex theory. According to this correspondence, elementary excitations in vortex theory are identified as particle states in quantum Hall ferromagnet, and thus we propose that a pure electron state is absent from the strong coupling region but only a composite particle state is present.

15 pages, 1 figure. Minor changes and references are added. To appear in IJMPA

References in corpus (6)

• Moduli Space of Non-Abelian Vortices
• Non-Abelian Vortices of Higher Winding Numbers
• Composite non-Abelian Flux Tubes in N=2 SQCD
• Central Charge Anomalies in 2D Sigma Models with Twisted Mass
• Jain States in a Matrix Theory of the Quantum Hall Effect
• Instanton and Superconductivity in Supersymmetric CP(N-1) Model

Cited by in corpus (4)

• The Quantum Hall Effect in Supersymmetric Chern-Simons Theories
• Fractional and semi-local non-Abelian Chern-Simons vortices
• A Matrix Model for Non-Abelian Quantum Hall States
• Vortex counting and the quantum Hall effect