Conformal Transformations and Two-Dimensional Field Theory

Turbulent Two Dimensional Magnetohydrodynamics and Conformal Field Theory

We show that an infinite number of non-unitary minimal models may describe two dimensional turbulent magnetohydrodynamics (MHD), both in the presence and absence of the Alf'ven effect. We argue that the existence of a critical dynamical index results in the Alf'ven effect or equivelently the equipartition of energy. We show that there are an infinite number of conserved quantities in 2D − M HD ...

Turbulent Two Dimensional Mangetohydrodynamics and Conformal Field Theory 1 -introduction

We generalise Polyakov's method of describing two dimensional turbulence using conformal eld theory to the case of two dimensional magnetohydrodynamics. We show that an innnite number of non-unitary minimal models may describe the two dimensional magnetohydrodynamics, both when the Alf'ven eeect is present and in its absence. We argue that the existence of a critical dynamical index results in ...

Modave Lectures Aspects of two-dimensional Conformal Field Theory

These notes constitute the write-up of a four hour lecture given at the First Modave Summer School on Mathematical Physics, held in Modave, 19-25 june 2005. It is intended to introduce basic tools of conformal field theory in two dimensions using as guideline the conformal Ward identities. Comments are welcome! E-mail : [email protected], ”Chercheur FRIA”

Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum Field Theory

Logarithmic Conformal Field Theory Solutions of Two Dimensional Magnetohydrodynamics

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...