Conformal Solutions Of Duality Invariant 2D Magnetohydrodynamic Turbulence

Abstract

We consider possible conformal field theory (CFT) descriptions of the various inertial ranges that exist in $2d$ duality invariant Magnetohydrodynamics. Such models arise as effective theories of dyonic plasmas in 3 dimensions in which all fields are independent of the third coordinate. We find new constraints on the allowed CFT's compared to those that may describe turbulence in $2d$ plasmas of electric charges only. The predictions from CFT concerning equipartition of energy amongst the electric and magnetic fields are discussed, and quantities exhibiting universal scaling are derived.

Latex, 8 pages

References in corpus (5)

• The Theory of Turbulence in Two Dimensions
• Turbulent Two Dimensional Magnetohydrodynamics and Conformal Field Theory.
• Dual strings and magnetohydrodynamics
• Magnetic Fields and Passive Scalars in Polyakov's Conformal Turbulence
• Conformal Models of Two-Dimensional Turbulence

Cited by in corpus (1)

• Logarithmic Conformal Field Theory Solutions of Two Dimensional Magnetohydrodynamics