Quantum Hall States of High Symmetry

Details Quantum Hall States of High Symmetry Quantum Hall States of High Symmetry

1995-01-13

arxiv.org/abs/cond-mat/9501052v2

Physics

Condensed Matter

17 pages, PostScript, 1 figure included. Revision - corrected slight error in equation (3.5) on Page 9

Scientific paper

10.1016/0550-3213(95)00271-S

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 $\nu=2/3$, 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.

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