Abstract
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 language | English (US) |
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Pages (from-to) | 558-568 |
Number of pages | 11 |
Journal | Nuclear Physics, Section B |
Volume | 450 |
Issue number | 3 |
DOIs | |
State | Published - Sep 18 1995 |
Externally published | Yes |
ASJC Scopus subject areas
- Nuclear and High Energy Physics