A logarithmic conformal field theory solution for two-dimensional magnetohydrodynamics in the presence of the Alf'ven effect
Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5531, Tehran, Iran
2 Department of Physics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
3 Department of Physics, Sharif University of Technology, P.O.Box 11365-9161, Tehran, Iran
Accepted: 24 January 1997
When the Alf'ven effect is present in magnetohydrodynamics one is naturally led to consider conformal field theories, which have logarithmic terms in their correlation functions. We discuss the implications of such logarithmic terms and find a logarithmic conformal field theory with central charge , within the border of the minimal series, which satisfies all the constraints. The energy spectrum is found to be .
PACS: 11.25.Hf – Conformal field theory, algebraic structures / 47.65.+a – Magnetohydrodynamics and electrohydrodynamics
© EDP Sciences, 1997