Abstract
The methods of conformal field theory are used to obtain series of exact solutions of the fundamental equations of the theory of turbulence. The basic conjecture, proved to be self-consistent, is the conformal invariance of the inertial range. The resulting physical picture is different from the standard one, since the enstrophy transfer is catalyzed by the large-scale motions. The theory gives some unambiguous predictions for the corrections in the inertial range.
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