  Polyakov has suggested that two dimensional turbulence might be described by
a minimal model of conformal field theory. However, there are many minimal
models satisfying the same physical inputs as Polyakov's solution (p,q)=(2,21).
Dynamical magnetic fields and passive scalars pose different physical
requirements. For large magnetic Reynolds number other minimal models arise.
The simplest one, (p,q)=(2,13) makes reasonable predictions that may be tested
in the astrophysical context. In particular, the equipartition theorem between
magnetic and kinetic energies does not hold: the magnetic one dominates at
larger distances.
