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01 June 2023
  » arxiv » cond-mat/9501052

 Article overview

Quantum Hall States of High Symmetry
Chetan Nayak ; Frank Wilczek ;
Date 13 Dec 1994
Subject cond-mat
AbstractWe identify some hidden symmetries of Chern-Simons theories, such as appear in the effective theory for quantized Hall states. This allows us to determine which filling fractions admit spin-singlet quantum Hall states. Our results shed some light on states already observed at $ u=2/3$, and transitions between them. We identify SU(2), or higher, symmetries of many additional states -- including spin-polarized states. Our symmetries classify low-lying excited states and may be of use in the construction of trial wavefunctions, but are typically not present in the edge theory, where they are lifted by non-universal couplings.
Source arXiv, cond-mat/9501052
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