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Field theory for partially polarized quantum Hall states

Field theory for partially polarized quantum Hall states

We propose an effective field theory for partially polarized quantum Hall states. The density and polarization for the mean-field ground states are determined by couplings to two Chern-Simons gauge fields. In addition, there is a $\ensuremath{\sigma}$-model field, $\mathrm{m\ifmmode \hat{}\else \^{}\fi{}},$ which is necessary both to preserve the Chern-Simons gauge symmetry …