Field theory of spin-singlet quantum Hall states

Abstract

We formulate a field theory for a class of spin-singlet quantum Hall states (the Haldane-Rezayi state and its variants) which have been proposed for the quantized Hall plateaus observed at the second lowest Landau level. A new essential ingredient is a class of super Chern-Simons field. We show that the known properties of the states are consistently described by it. We also give a 2+1 dimensional hierarchical construction. Implications of the proposal are discussed and a new physical picture of composite particles at the second lowest Landau level emerges.

RevTex, 5 pages, 1 figure

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Cited by in corpus (5)

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• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• Fermionic fractional quantum Hall states: A modern approach to systems with bulk-edge correspondence