Nodal lines in 2D active scalar turbulence are proposed to be domain walls between constant-flux patches, described by a Liouville conformal field theory whose central charge is set by a fractional winding number matched to Kolmogorov-Kraichnan scaling.
Lack of self-similarity in transverse velocity increments and circulation statistics in two-dimensional turbulence,
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Topology and the Conformal Invariance of Nodal Lines in Two-Dimensional Active Scalar Turbulence
Nodal lines in 2D active scalar turbulence are proposed to be domain walls between constant-flux patches, described by a Liouville conformal field theory whose central charge is set by a fractional winding number matched to Kolmogorov-Kraichnan scaling.