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Toward a Conformal Field Theory for the Quantum Hall Effect

High Energy Physics - Theory 2015-06-26 v1

Abstract

An effective Hamiltonian for the study of the quantum Hall effect is proposed. This Hamiltonian, which includes a ``current-current" interaction has the form of a Hamiltonian for a conformal field theory in the large NN limit. An order parameter is constructed from which the Hamiltonian may be derived. This order parameter may be viewed as either a collective coordinate for a system of NN charged particles in a strong magnetic field; or as a field of spins associated with the cyclotron motion of these particles.

Keywords

Cite

@article{arxiv.hep-th/9202010,
  title  = {Toward a Conformal Field Theory for the Quantum Hall Effect},
  author = {G. Nagao},
  journal= {arXiv preprint arXiv:hep-th/9202010},
  year   = {2015}
}

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14 pgs

R2 v1 2026-07-22T15:42:23.631Z