The effective Maxwell-Chern-Simons theory for FQH excitations admits a non-perturbative unitary SDiff-equivariant construction that is nevertheless non-differentiable.
Milnor, Remarks on infinite-dimensional Lie groups, in Relativity, Groups, and Topology II
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Non-Perturbative SDiff Covariance of Fractional Quantum Hall Excitations
The effective Maxwell-Chern-Simons theory for FQH excitations admits a non-perturbative unitary SDiff-equivariant construction that is nevertheless non-differentiable.