Quantum Hall states of high symmetry

Chetan Nayak, Frank Wilczek

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We 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 ν = 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.

Original languageEnglish (US)
Pages (from-to)558-568
Number of pages11
JournalNuclear Physics, Section B
Issue number3
StatePublished - Sep 18 1995
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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