A Logarithmic Conformal Field Theory Solution For Two Dimensional Magnetohydrodynamics In Presence of The Alf'ven Effect

Abstract

When Alf`ven effect is peresent in magnetohydrodynamics one is naturally lead to consider conformal field theories, which have logarithmic terms in their correlation functions. We discuss the implications of such logarithmic terms and find a unique conformal field theory with centeral charge $c=-\frac{209}{7}$, within the border of the minimal series, which satisfies all the constraints. The energy espectrum is found to be \newline $E(k)\sim k^{-\frac{13}{7}}\log k$.

Latex, 9 pages

References in corpus (13)

• On Modular Invariant Partition Functions of Conformal Field Theories with Logarithmic Operators
• Logarithmic Operators and Hidden Continuous Symmetry in Critical Disordered Models
• Non-unitary Conformal Field Theory and Logarithmic Operators for Disordered Systems
• World-Sheet Logarithmic Operators and Target Space Symmetries in String Theory
• The Logarithmic Conformal Field Theories
• ON GRAVITATIONAL DRESSING OF 2D FIELD THEORIES IN CHIRAL GAUGE
• Chiral Operator Product Algebra and Edge Excitations of a Fractional Quantum Hall Droplet
• 2-Dimensional Turbulence: yet another Conformal Field Theory Solution
• D Branes from Liouville Strings
• Turbulent Two Dimensional Magnetohydrodynamics and Conformal Field Theory.
• Logarithmic Operators in Conformal Field Theory and The $\W_\infty$-algebra
• A Liouville String Approach to Microscopic Time and Cosmology
• The Alf'ven Effect and Conformal Field Theory

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