Logarithmic Conformal Field Theory Solutions of Two Dimensional Magnetohydrodynamics

Abstract

We consider the application of logarithmic conformal field theory in finding solutions to the turbulent phases of 2-dimensional models of magnetohydrodynamics. These arise upon dimensional reduction of standard (infinite conductivity) 3-dimensional magnetohydrodynamics, after taking various simplifying limits. We show that solutions of the corresponding Hopf equations and higher order integrals of motion can be found within the solutions of ordinary turbulence proposed by Flohr, based on the tensor product of the logarithmic extension ${\tilde{c}}_{6,1}$ of the non-unitary minimal model $c_{6,1}$. This possibility arises because of the existence of a continuous hidden symmetry present in the latter models, and the fact that there appear several distinct dimension -1 and -2 primary fields.

15 pages, Latex; references added

References in corpus (13)

• Logarithmic Operators and Hidden Continuous Symmetry in Critical Disordered Models
• World-Sheet Logarithmic Operators and Target Space Symmetries in String Theory
• On Fusion Rules in Logarithmic Conformal Field Theories
• Origin of Logarithmic Operators in Conformal Field Theories
• 2-Dimensional Turbulence: yet another Conformal Field Theory Solution
• A Logarithmic Conformal Field Theory Solution For Two Dimensional Magnetohydrodynamics In Presence of The Alf'ven Effect
• Zamalodchikov's C-Theorem and The Logarithmic Conformal Field Theory
• Duality Invariant Magnetohydrodynamics And Dyons
• Perturbing Conformal Turbulence
• Predictions on Two-dimensional Turbulence by Conformal Field Theory
• 3-D Perturbations in Conformal Turbulence
• Conformal Solutions Of Duality Invariant 2D Magnetohydrodynamic Turbulence
• Conformal Models of Magnetohydrodynamic Turbulence

Cited by in corpus (10)

• Bits and Pieces in Logarithmic Conformal Field Theory
• Holographic applications of logarithmic conformal field theories
• Boundary Logarithmic Conformal Field Theory
• Operator Product Expansion in Logarithmic Conformal Field Theory
• Logarithmic Conformal Field Theory and Seiberg-Witten Models
• Disordered Systems and Logarithmic Conformal Field Theory
• Legendre's Relation and the Quantum Equivalence osp(4|4)_(1) = osp(2|2)_(-2) + su(2)_(0)
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• What the characters of irreducible subrepresentations of Jordan cells can tell us about LCFT
• Integrable hierarchies, Hurwitz numbers and a branch point field in critical topologically massive gravity