Conformal Solutions Of Duality Invariant 2D Magnetohydrodynamic Turbulence

TL;DR

This paper explores conformal field theory descriptions of 2D duality invariant magnetohydrodynamic turbulence, deriving new constraints and universal scaling laws for energy distribution in dyonic plasma models.

Contribution

It introduces novel CFT constraints for duality invariant MHD turbulence and analyzes energy equipartition and universal scaling in these models.

Findings

Derived new constraints on allowed CFTs for 2D duality invariant MHD.

Predicted universal scaling laws for energy distribution.

Discussed equipartition of energy among electric and magnetic fields.

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.